13 is what percent of 16 - 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 16 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 16, so we can write it down as 100%=16.
4. We know, that x% equals 13 of the output value, so we can write it down as x%=13.
5. Now we have two simple equations:
1) 100%=16
2) x%=13
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%=16/13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13 is what percent of 16

100%/x%=16/13
(100/x)*x=(16/13)*x - we multiply both sides of the equation by x
100=1.23076923077*x - we divide both sides of the equation by (1.23076923077) to get x
100/1.23076923077=x
81.25=x
x=81.25

now we have:
13 is 81.25% of 16

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