938.5 is what percent of 1031.5 - 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 1031.5 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 1031.5, so we can write it down as 100%=1031.5.
4. We know, that x% equals 938.5 of the output value, so we can write it down as x%=938.5.
5. Now we have two simple equations:
1) 100%=1031.5
2) x%=938.5
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%=1031.5/938.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 938.5 is what percent of 1031.5

100%/x%=1031.5/938.5
(100/x)*x=(1031.5/938.5)*x       - we multiply both sides of the equation by x
100=1.099094299414*x       - we divide both sides of the equation by (1.099094299414) to get x
100/1.099094299414=x
90.984003877848=x
x=90.984003877848

now we have:
938.5 is 90.984003877848% of 1031.5