87.59 is what percent of 187.24 - 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 187.24 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 187.24, so we can write it down as 100%=187.24.
4. We know, that x% equals 87.59 of the output value, so we can write it down as x%=87.59.
5. Now we have two simple equations:
1) 100%=187.24
2) x%=87.59
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%=187.24/87.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.59 is what percent of 187.24

100%/x%=187.24/87.59
(100/x)*x=(187.24/87.59)*x       - we multiply both sides of the equation by x
100=2.1376869505651*x       - we divide both sides of the equation by (2.1376869505651) to get x
100/2.1376869505651=x
46.779534287545=x
x=46.779534287545

now we have:
87.59 is 46.779534287545% of 187.24