90.45 is what percent of 1131.01 - 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 1131.01 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 1131.01, so we can write it down as 100%=1131.01.
4. We know, that x% equals 90.45 of the output value, so we can write it down as x%=90.45.
5. Now we have two simple equations:
1) 100%=1131.01
2) x%=90.45
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%=1131.01/90.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.45 is what percent of 1131.01

100%/x%=1131.01/90.45
(100/x)*x=(1131.01/90.45)*x       - we multiply both sides of the equation by x
100=12.504256495301*x       - we divide both sides of the equation by (12.504256495301) to get x
100/12.504256495301=x
7.9972767703203=x
x=7.9972767703203

now we have:
90.45 is 7.9972767703203% of 1131.01