15.87 is what percent of 16.58 - 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 16.58 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 16.58, so we can write it down as 100%=16.58.
4. We know, that x% equals 15.87 of the output value, so we can write it down as x%=15.87.
5. Now we have two simple equations:
1) 100%=16.58
2) x%=15.87
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%=16.58/15.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.87 is what percent of 16.58

100%/x%=16.58/15.87
(100/x)*x=(16.58/15.87)*x       - we multiply both sides of the equation by x
100=1.0447385003151*x       - we divide both sides of the equation by (1.0447385003151) to get x
100/1.0447385003151=x
95.717732207479=x
x=95.717732207479

now we have:
15.87 is 95.717732207479% of 16.58