Sam makes $\$65$ per week and Don makes $\$138$ per week.
How do I express, as a percentage, how much more Don makes per week than Sam does?
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$$\text{Don earns}\;\;\left(\frac{\text{Don's earnings}-\text{Sam's earnings}}{\text{Sam's earning's}}\; \times 100 \%\right) \;\;\text{more than what Sam earns}$$
$$\dfrac {138 - 65}{65}\times 100\% \approx 112.31\%$$
This tells us that Don earns $\;\approx \;112.31\%\;$ more than Sam earns.
amWhy
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thanks a lot for showing me with detail. so the answer should be 112.31% ? – Don P. Jul 12 '13 at 04:09
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ok, thanks a lot for cleaning things out. I appreciate your help – Don P. Jul 12 '13 at 04:18
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You're welcome. Glad to help! – amWhy Jul 12 '13 at 04:19
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It is an English point, not a math point, but I would read "more than" as the difference over Sam's and get $112.31%$ – Ross Millikan Jul 12 '13 at 04:48
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@RossMillikan: That's what I wrote at first (check edit history: first post). Perhaps I should include both? – amWhy Jul 12 '13 at 04:49
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1I think the difference is that 105 is 5% more than 100, but is 105% of 100. The more is the distinction. I would do the first. – Ross Millikan Jul 12 '13 at 12:47