86.51 is what percent of 150 - 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 150 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 150, so we can write it down as 100%=150.
4. We know, that x% equals 86.51 of the output value, so we can write it down as x%=86.51.
5. Now we have two simple equations:
1) 100%=150
2) x%=86.51
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%=150/86.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86.51 is what percent of 150

100%/x%=150/86.51
(100/x)*x=(150/86.51)*x       - we multiply both sides of the equation by x
100=1.7339035949601*x       - we divide both sides of the equation by (1.7339035949601) to get x
100/1.7339035949601=x
57.673333333333=x
x=57.673333333333

now we have:
86.51 is 57.673333333333% of 150