<?xml version="1.0" encoding="utf-8"?>
<InstanceReport xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema">
  <Version>2.2.0.7</Version>
  <hasSegments>false</hasSegments>
  <ReportName>Financing Arrangements</ReportName>
  <ReportLongName>0210 - Disclosure - Financing Arrangements</ReportLongName>
  <DisplayLabelColumn>true</DisplayLabelColumn>
  <ShowElementNames>false</ShowElementNames>
  <RoundingOption />
  <HasEmbeddedReports>false</HasEmbeddedReports>
  <Columns>
    <Column>
      <LabelColumn>false</LabelColumn>
      <Id>1</Id>
      <Labels>
        <Label Id="1" Label="9 Months Ended" />
        <Label Id="2" Label="Sep. 30, 2010" />
      </Labels>
      <CurrencyCode>USD</CurrencyCode>
      <FootnoteIndexer />
      <hasSegments>false</hasSegments>
      <hasScenarios>false</hasScenarios>
      <Segments />
      <Scenarios />
      <Units>
        <Unit>
          <UnitID>Shares</UnitID>
          <UnitType>Standard</UnitType>
          <StandardMeasure>
            <MeasureSchema>http://www.xbrl.org/2003/instance</MeasureSchema>
            <MeasureValue>shares</MeasureValue>
            <MeasureNamespace>xbrli</MeasureNamespace>
          </StandardMeasure>
          <Scale>0</Scale>
        </Unit>
        <Unit>
          <UnitID>USD</UnitID>
          <UnitType>Standard</UnitType>
          <StandardMeasure>
            <MeasureSchema>http://www.xbrl.org/2003/iso4217</MeasureSchema>
            <MeasureValue>USD</MeasureValue>
            <MeasureNamespace>iso4217</MeasureNamespace>
          </StandardMeasure>
          <Scale>0</Scale>
        </Unit>
        <Unit>
          <UnitID>USDEPS</UnitID>
          <UnitType>Divide</UnitType>
          <NumeratorMeasure>
            <MeasureSchema>http://www.xbrl.org/2003/iso4217</MeasureSchema>
            <MeasureValue>USD</MeasureValue>
            <MeasureNamespace>iso4217</MeasureNamespace>
          </NumeratorMeasure>
          <DenominatorMeasure>
            <MeasureSchema>http://www.xbrl.org/2003/instance</MeasureSchema>
            <MeasureValue>shares</MeasureValue>
            <MeasureNamespace>xbrli</MeasureNamespace>
          </DenominatorMeasure>
          <Scale>0</Scale>
        </Unit>
        <Unit>
          <UnitID>Pure</UnitID>
          <UnitType>Standard</UnitType>
          <StandardMeasure>
            <MeasureSchema>http://www.xbrl.org/2003/instance</MeasureSchema>
            <MeasureValue>pure</MeasureValue>
            <MeasureNamespace>xbrli</MeasureNamespace>
          </StandardMeasure>
          <Scale>0</Scale>
        </Unit>
      </Units>
      <CurrencySymbol>$</CurrencySymbol>
    </Column>
  </Columns>
  <Rows>
    <Row>
      <Id>2</Id>
      <Label>Financing Arrangements [Abstract]</Label>
      <Level>0</Level>
      <ElementName>gr_FinancingArrangementsAbstract</ElementName>
      <ElementPrefix>gr</ElementPrefix>
      <IsBaseElement>false</IsBaseElement>
      <BalanceType>na</BalanceType>
      <PeriodType>duration</PeriodType>
      <ShortDefinition>Financing Arrangements.</ShortDefinition>
      <IsReportTitle>false</IsReportTitle>
      <IsSegmentTitle>false</IsSegmentTitle>
      <IsSubReportEnd>false</IsSubReportEnd>
      <IsCalendarTitle>false</IsCalendarTitle>
      <IsTuple>false</IsTuple>
      <IsAbstractGroupTitle>true</IsAbstractGroupTitle>
      <IsEquityPrevioslyReportedAsRow>false</IsEquityPrevioslyReportedAsRow>
      <IsEquityAdjustmentRow>false</IsEquityAdjustmentRow>
      <IsBeginningBalance>false</IsBeginningBalance>
      <IsEndingBalance>false</IsEndingBalance>
      <IsReverseSign>false</IsReverseSign>
      <PreferredLabelRole />
      <IsEPS>false</IsEPS>
      <FootnoteIndexer />
      <Cells>
        <Cell>
          <Id>1</Id>
          <ShowCurrencySymbol>false</ShowCurrencySymbol>
          <IsNumeric>false</IsNumeric>
          <IsRatio>false</IsRatio>
          <DisplayZeroAsNone>false</DisplayZeroAsNone>
          <NumericAmount>0</NumericAmount>
          <RoundedNumericAmount>0</RoundedNumericAmount>
          <NonNumbericText />
          <NonNumericTextHeader />
          <FootnoteIndexer />
          <hasSegments>false</hasSegments>
          <hasScenarios>false</hasScenarios>
          <DisplayDateInUSFormat>false</DisplayDateInUSFormat>
        </Cell>
      </Cells>
      <OriginalInstanceReportColumns />
      <ElementDataType>xbrli:stringItemType</ElementDataType>
      <SimpleDataType>string</SimpleDataType>
      <ElementDefenition>Financing Arrangements.</ElementDefenition>
      <IsTotalLabel>false</IsTotalLabel>
    </Row>
    <Row>
      <Id>3</Id>
      <Label>Financing Arrangements</Label>
      <Level>1</Level>
      <ElementName>us-gaap_DebtDisclosureTextBlock</ElementName>
      <ElementPrefix>us-gaap</ElementPrefix>
      <IsBaseElement>true</IsBaseElement>
      <BalanceType>na</BalanceType>
      <PeriodType>duration</PeriodType>
      <ShortDefinition>No definition available.</ShortDefinition>
      <IsReportTitle>false</IsReportTitle>
      <IsSegmentTitle>false</IsSegmentTitle>
      <IsSubReportEnd>false</IsSubReportEnd>
      <IsCalendarTitle>false</IsCalendarTitle>
      <IsTuple>false</IsTuple>
      <IsAbstractGroupTitle>false</IsAbstractGroupTitle>
      <IsEquityPrevioslyReportedAsRow>false</IsEquityPrevioslyReportedAsRow>
      <IsEquityAdjustmentRow>false</IsEquityAdjustmentRow>
      <IsBeginningBalance>false</IsBeginningBalance>
      <IsEndingBalance>false</IsEndingBalance>
      <IsReverseSign>false</IsReverseSign>
      <PreferredLabelRole>verboselabel</PreferredLabelRole>
      <IsEPS>false</IsEPS>
      <FootnoteIndexer />
      <Cells>
        <Cell>
          <Id>1</Id>
          <ShowCurrencySymbol>false</ShowCurrencySymbol>
          <IsNumeric>false</IsNumeric>
          <IsRatio>false</IsRatio>
          <DisplayZeroAsNone>false</DisplayZeroAsNone>
          <NumericAmount>0</NumericAmount>
          <RoundedNumericAmount>0</RoundedNumericAmount>
          <NonNumbericText>&lt;!--DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd" --&gt;
   &lt;!-- Begin Block Tagged Note 10 - us-gaap:DebtDisclosureTextBlock--&gt;
   &lt;div style="font-family: Helvetica,Arial,sans-serif"&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 12pt"&gt;&lt;b&gt;Note 10. Financing Arrangements&lt;/b&gt;
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;The Company has a $500&amp;#160;million committed global syndicated revolving credit facility, which expires
   in May&amp;#160;2012. Interest rates under this facility vary depending upon:
   &lt;/div&gt;
   &lt;div style="margin-top: 6pt"&gt;
   &lt;table width="100%" border="0" cellpadding="0" cellspacing="0" style="font-size: 10pt; text-align: left"&gt;
   &lt;tr valign="top" style="font-size: 10pt; color: #000000; background: transparent"&gt;
       &lt;td width="2%" style="background: transparent"&gt;&amp;#160;&lt;/td&gt;
       &lt;td width="3%" nowrap="nowrap" align="left"&gt;&lt;b&gt;&amp;#8226;&lt;/b&gt;&lt;/td&gt;
       &lt;td width="1%"&gt;&amp;#160;&lt;/td&gt;
       &lt;td&gt;The amount borrowed;&lt;/td&gt;
   &lt;/tr&gt;
   &lt;tr&gt;
       &lt;td style="font-size: 6pt"&gt;&amp;#160;&lt;/td&gt;
   &lt;/tr&gt;
   &lt;tr valign="top" style="font-size: 10pt; color: #000000; background: transparent"&gt;
       &lt;td width="2%" style="background: transparent"&gt;&amp;#160;&lt;/td&gt;
       &lt;td width="3%" nowrap="nowrap" align="left"&gt;&lt;b&gt;&amp;#8226;&lt;/b&gt;&lt;/td&gt;
       &lt;td width="1%"&gt;&amp;#160;&lt;/td&gt;
       &lt;td&gt;The Company&amp;#8217;s public debt rating by Standard &amp;#038; Poor&amp;#8217;s, Moody&amp;#8217;s and Fitch; and&lt;/td&gt;
   &lt;/tr&gt;
   &lt;tr&gt;
       &lt;td style="font-size: 6pt"&gt;&amp;#160;&lt;/td&gt;
   &lt;/tr&gt;
   &lt;tr valign="top" style="font-size: 10pt; color: #000000; background: transparent"&gt;
       &lt;td width="2%" style="background: transparent"&gt;&amp;#160;&lt;/td&gt;
       &lt;td width="3%" nowrap="nowrap" align="left"&gt;&lt;b&gt;&amp;#8226;&lt;/b&gt;&lt;/td&gt;
       &lt;td width="1%"&gt;&amp;#160;&lt;/td&gt;
       &lt;td&gt;At the Company&amp;#8217;s option, rates tied to the agent bank&amp;#8217;s prime rate or, for U.S. Dollar
   and Great Britain Pounds Sterling borrowings, the London Interbank Offered Rate and for Euro
   Dollar borrowings, the Euro Interbank Offered Rate.&lt;/td&gt;
   &lt;/tr&gt;
   &lt;/table&gt;
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;At September&amp;#160;30, 2010, there were no borrowings and $66.6&amp;#160;million in letters of credit outstanding
   under the facility. At December&amp;#160;31, 2009, there were no borrowings and $68&amp;#160;million in letters of
   credit outstanding under the facility. The level of unused borrowing capacity varies from time to
   time depending, in part, upon the Company&amp;#8217;s compliance with financial and other covenants set forth
   in the related agreement, including the consolidated net worth requirement and maximum leverage
   ratio. The Company is currently in compliance with all such covenants. Under the most restrictive
   of these covenants, $2,084.7&amp;#160;million of income retained in the business and additional paid-in
   capital was free from such limitations at September&amp;#160;30, 2010. At September&amp;#160;30, 2010, the Company
   had borrowing capacity under this facility of $433.4&amp;#160;million, after reductions for letters of
   credit outstanding under the facility.
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;At September&amp;#160;30, 2010, the Company had letters of credit and bank guarantees of $120.2&amp;#160;million,
   inclusive of $66.6&amp;#160;million in letters of credit outstanding under the Company&amp;#8217;s syndicated
   revolving credit facility, as discussed above.
   &lt;/div&gt;
   &lt;!-- Folio --&gt;
   &lt;!-- /Folio --&gt;
   &lt;/div&gt;
   &lt;!-- PAGEBREAK --&gt;
   &lt;div style="font-family: Helvetica,Arial,sans-serif"&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;At September&amp;#160;30, 2010, the Company also maintained $75&amp;#160;million of uncommitted U.S. money market
   facilities and $157.5&amp;#160;million of uncommitted and committed foreign working capital facilities with
   various banks to meet short-term borrowing requirements. At September&amp;#160;30, 2010 and December&amp;#160;31,
   2009, there were $12&amp;#160;million and $3.1&amp;#160;million, respectively, in borrowings and $20.5&amp;#160;million and
   $0.3&amp;#160;million, respectively, in letters of credit and bank guarantees outstanding under these
   facilities. These credit facilities are provided by a small number of commercial banks that also
   provide the Company with committed credit through the syndicated revolving credit facility
   described above and with various cash management, trust and other services.
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;In September&amp;#160;2010, the Company issued $600&amp;#160;million principal amount of 3.6% senior notes due in
   2021, which were issued at a discount below par value of $1.3&amp;#160;million.
    The Company entered into $600&amp;#160;million of hedges to offset changes in the
   issue price of the senior notes due to movements in treasury rates prior to the issuance. The
   Company paid $1.8&amp;#160;million in cash to settle the hedges, and the amount was recorded in
   accumulated other comprehensive income (loss) (AOCI)&amp;#160;during the three months ended September&amp;#160;30,
   2010. In addition, the Company deferred
   approximately $5&amp;#160;million of transaction costs. The discount, the amount paid to settle the hedges and the deferred transactions costs will be amortized over the life of the senior
   notes.
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 12pt"&gt;&lt;b&gt;Debt Redemption&lt;/b&gt;
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;In September&amp;#160;2010, the Company called for redemption all of its outstanding $257,460,000 principal
   amount 7.625% senior notes due 2012 and  the senior notes were redeemed on October&amp;#160;12, 2010. The
   Company will recognize a loss of $34.9&amp;#160;million, including a premium of $37.4&amp;#160;million and a gain of
   $2.5&amp;#160;million for terminated interest rate swaps net of the recognition of unamortized costs related
   to the notes, in the fourth quarter of 2010.
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 12pt"&gt;&lt;b&gt;Lease Commitments&lt;/b&gt;
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;The Company leases certain of its office and manufacturing facilities, machinery and equipment and
   corporate aircraft under various committed lease arrangements provided by financial institutions.
   Future minimum lease payments under operating leases were $182.6&amp;#160;million at September&amp;#160;30, 2010.
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;One of these arrangements allows the Company, rather than the lessor, to claim a deduction for tax
   depreciation on the asset and allows the Company to lease a corporate aircraft with a total
   commitment amount of $43.8&amp;#160;million. For accounting purposes, the Company was deemed to be the owner
   of the aircraft during the construction period and recorded an asset with an offsetting lease
   obligation of approximately $32&amp;#160;million. This lease will qualify for sales-leaseback treatment upon
   lease commencement in 2011 and will be priced at a spread over LIBOR.
   &lt;/div&gt;
   &lt;!-- Folio --&gt;
   &lt;!-- /Folio --&gt;
   &lt;/div&gt;
   &lt;!-- PAGEBREAK --&gt;
   &lt;div style="font-family: Helvetica,Arial,sans-serif"&gt;
   &lt;/div&gt;
</NonNumbericText>
          <NonNumericTextHeader>&lt;!--DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd" --&gt;
   &lt;!-- Begin Block Tagged Note</NonNumericTextHeader>
          <FootnoteIndexer />
          <hasSegments>false</hasSegments>
          <hasScenarios>false</hasScenarios>
          <DisplayDateInUSFormat>false</DisplayDateInUSFormat>
        </Cell>
      </Cells>
      <OriginalInstanceReportColumns />
      <ElementDataType>us-types:textBlockItemType</ElementDataType>
      <SimpleDataType>textblock</SimpleDataType>
      <ElementDefenition>Information about short-term and long-term debt arrangements, which includes amounts of borrowings under each line of credit, note payable, commercial paper issue, bonds indenture, debenture issue, and any other contractual agreement to repay funds, and about the underlying arrangements, rationale for a classification as long-term, including repayment terms, interest rates, collateral provided, restrictions on use of assets and activities, whether or not in compliance with debt covenants, and other matters important to users of the financial statements, such as the effects of refinancing and noncompliance with debt covenants.</ElementDefenition>
      <ElementReferences>Reference 1: http://www.xbrl.org/2003/role/presentationRef
 -Publisher SEC
 -Name Regulation S-X (SX)
 -Number 210
 -Section 02
 -Paragraph 19, 20, 22
 -Article 5

Reference 2: http://www.xbrl.org/2003/role/presentationRef
 -Publisher FASB
 -Name Statement of Financial Accounting Standard (FAS)
 -Number 129
 -Paragraph 2, 4

</ElementReferences>
      <IsTotalLabel>false</IsTotalLabel>
    </Row>
  </Rows>
  <Footnotes />
  <NumberOfCols>1</NumberOfCols>
  <NumberOfRows>2</NumberOfRows>
  <HasScenarios>false</HasScenarios>
  <MonetaryRoundingLevel>UnKnown</MonetaryRoundingLevel>
  <SharesRoundingLevel>UnKnown</SharesRoundingLevel>
  <PerShareRoundingLevel>UnKnown</PerShareRoundingLevel>
  <HasPureData>false</HasPureData>
  <SharesShouldBeRounded>true</SharesShouldBeRounded>
</InstanceReport>
