911.46 is what percent of 1002.57 - 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 1002.57 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 1002.57, so we can write it down as 100%=1002.57.
4. We know, that x% equals 911.46 of the output value, so we can write it down as x%=911.46.
5. Now we have two simple equations:
1) 100%=1002.57
2) x%=911.46
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%=1002.57/911.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 911.46 is what percent of 1002.57

100%/x%=1002.57/911.46
(100/x)*x=(1002.57/911.46)*x       - we multiply both sides of the equation by x
100=1.0999605029294*x       - we divide both sides of the equation by (1.0999605029294) to get x
100/1.0999605029294=x
90.912355247015=x
x=90.912355247015

now we have:
911.46 is 90.912355247015% of 1002.57