132.44 is what percent of 1150.16 - 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 1150.16 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 1150.16, so we can write it down as 100%=1150.16.
4. We know, that x% equals 132.44 of the output value, so we can write it down as x%=132.44.
5. Now we have two simple equations:
1) 100%=1150.16
2) x%=132.44
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%=1150.16/132.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 132.44 is what percent of 1150.16

100%/x%=1150.16/132.44
(100/x)*x=(1150.16/132.44)*x       - we multiply both sides of the equation by x
100=8.6843853820598*x       - we divide both sides of the equation by (8.6843853820598) to get x
100/8.6843853820598=x
11.514919663351=x
x=11.514919663351

now we have:
132.44 is 11.514919663351% of 1150.16