471.5 is what percent of 513.25 - 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 513.25 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 513.25, so we can write it down as 100%=513.25.
4. We know, that x% equals 471.5 of the output value, so we can write it down as x%=471.5.
5. Now we have two simple equations:
1) 100%=513.25
2) x%=471.5
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%=513.25/471.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 471.5 is what percent of 513.25

100%/x%=513.25/471.5
(100/x)*x=(513.25/471.5)*x       - we multiply both sides of the equation by x
100=1.0885471898197*x       - we divide both sides of the equation by (1.0885471898197) to get x
100/1.0885471898197=x
91.86556259133=x
x=91.86556259133

now we have:
471.5 is 91.86556259133% of 513.25