523.5 is what percent of 575 - 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 575 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 575, so we can write it down as 100%=575.
4. We know, that x% equals 523.5 of the output value, so we can write it down as x%=523.5.
5. Now we have two simple equations:
1) 100%=575
2) x%=523.5
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%=575/523.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 523.5 is what percent of 575

100%/x%=575/523.5
(100/x)*x=(575/523.5)*x       - we multiply both sides of the equation by x
100=1.098376313276*x       - we divide both sides of the equation by (1.098376313276) to get x
100/1.098376313276=x
91.04347826087=x
x=91.04347826087

now we have:
523.5 is 91.04347826087% of 575