If a machine factory produces 456 machine tools, it is 5% short of the contracted order quantity. Now the ordering party requires 15% more than the contract order quantity, how many machine tools does this factory need to produce to complete the task?
某机厂如果生产456台机床，离合同订货数差5%．现在订货方要求比合同订货数增加15%，这个厂要生产多少台机床才能完成任务？
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>

<gadget id="calculator">1 - (1/20)</gadget>
<output>19/20 = around 0.95</output>

<gadget id="calculator">456 / (19/20)</gadget>
<output>480</output>

<gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>

<gadget id="calculator">480 * (3/20)</gadget>
<output>72</output>

<gadget id="calculator">480 - 456</gadget>
<output>24</output>

<gadget id="calculator">72 + 24</gadget>
<output>96</output>

<result>96</result>