15.87 is what percent of 18.21 - 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 18.21 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 18.21, so we can write it down as 100%=18.21.
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%=18.21
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%=18.21/15.87
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 18.21

100%/x%=18.21/15.87
(100/x)*x=(18.21/15.87)*x       - we multiply both sides of the equation by x
100=1.1474480151229*x       - we divide both sides of the equation by (1.1474480151229) to get x
100/1.1474480151229=x
87.149917627677=x
x=87.149917627677

now we have:
15.87 is 87.149917627677% of 18.21