16.87 is what percent of 86.07 - 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 86.07 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 86.07, so we can write it down as 100%=86.07.
4. We know, that x% equals 16.87 of the output value, so we can write it down as x%=16.87.
5. Now we have two simple equations:
1) 100%=86.07
2) x%=16.87
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%=86.07/16.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.87 is what percent of 86.07

100%/x%=86.07/16.87
(100/x)*x=(86.07/16.87)*x       - we multiply both sides of the equation by x
100=5.1019561351512*x       - we divide both sides of the equation by (5.1019561351512) to get x
100/5.1019561351512=x
19.600325316603=x
x=19.600325316603

now we have:
16.87 is 19.600325316603% of 86.07