1059.16 is what percent of 1150 - 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 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, so we can write it down as 100%=1150.
4. We know, that x% equals 1059.16 of the output value, so we can write it down as x%=1059.16.
5. Now we have two simple equations:
1) 100%=1150
2) x%=1059.16
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%=1150/1059.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1059.16 is what percent of 1150

100%/x%=1150/1059.16
(100/x)*x=(1150/1059.16)*x       - we multiply both sides of the equation by x
100=1.0857660787794*x       - we divide both sides of the equation by (1.0857660787794) to get x
100/1.0857660787794=x
92.100869565217=x
x=92.100869565217

now we have:
1059.16 is 92.100869565217% of 1150