130460.75 is what percent of 150249.16 - 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 150249.16 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 150249.16, so we can write it down as 100%=150249.16.
4. We know, that x% equals 130460.75 of the output value, so we can write it down as x%=130460.75.
5. Now we have two simple equations:
1) 100%=150249.16
2) x%=130460.75
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%=150249.16/130460.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130460.75 is what percent of 150249.16

100%/x%=150249.16/130460.75
(100/x)*x=(150249.16/130460.75)*x       - we multiply both sides of the equation by x
100=1.151680946185*x       - we divide both sides of the equation by (1.151680946185) to get x
100/1.151680946185=x
86.829603573158=x
x=86.829603573158

now we have:
130460.75 is 86.829603573158% of 150249.16