47 is what percent of 62.5 - step by step solution

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 62.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 62.5, so we can write it down as 100%=62.5.
4. We know, that x% equals 47 of the output value, so we can write it down as x%=47.
5. Now we have two simple equations:
1) 100%=62.5
2) x%=47
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=62.5/47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47 is what percent of 62.5

100%/x%=62.5/47
(100/x)*x=(62.5/47)*x       - we multiply both sides of the equation by x
100=1.3297872340426*x       - we divide both sides of the equation by (1.3297872340426) to get x
100/1.3297872340426=x
75.2=x
x=75.2

now we have:
47 is 75.2% of 62.5

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