35.73 is what percent of 316.5 - 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 316.5 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 316.5, so we can write it down as 100%=316.5.
4. We know, that x% equals 35.73 of the output value, so we can write it down as x%=35.73.
5. Now we have two simple equations:
1) 100%=316.5
2) x%=35.73
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%=316.5/35.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.73 is what percent of 316.5

100%/x%=316.5/35.73
(100/x)*x=(316.5/35.73)*x       - we multiply both sides of the equation by x
100=8.8581024349286*x       - we divide both sides of the equation by (8.8581024349286) to get x
100/8.8581024349286=x
11.289099526066=x
x=11.289099526066

now we have:
35.73 is 11.289099526066% of 316.5