142.64 is what percent of 107.32 - 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 107.32 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 107.32, so we can write it down as 100%=107.32.
4. We know, that x% equals 142.64 of the output value, so we can write it down as x%=142.64.
5. Now we have two simple equations:
1) 100%=107.32
2) x%=142.64
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%=107.32/142.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.64 is what percent of 107.32

100%/x%=107.32/142.64
(100/x)*x=(107.32/142.64)*x       - we multiply both sides of the equation by x
100=0.75238362310712*x       - we divide both sides of the equation by (0.75238362310712) to get x
100/0.75238362310712=x
132.91092061126=x
x=132.91092061126

now we have:
142.64 is 132.91092061126% of 107.32