10087.5 is what percent of 15698 - step by step solution

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

1. We assume, that the number 15698 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 15698, so we can write it down as 100%=15698.
4. We know, that x% equals 10087.5 of the output value, so we can write it down as x%=10087.5.
5. Now we have two simple equations:
1) 100%=15698
2) x%=10087.5
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%=15698/10087.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10087.5 is what percent of 15698

100%/x%=15698/10087.5
(100/x)*x=(15698/10087.5)*x       - we multiply both sides of the equation by x
100=1.5561833952912*x       - we divide both sides of the equation by (1.5561833952912) to get x
100/1.5561833952912=x
64.259778315709=x
x=64.259778315709

now we have:
10087.5 is 64.259778315709% of 15698