523.64 is what percent of 5000 - 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 5000 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 5000, so we can write it down as 100%=5000.
4. We know, that x% equals 523.64 of the output value, so we can write it down as x%=523.64.
5. Now we have two simple equations:
1) 100%=5000
2) x%=523.64
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%=5000/523.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 523.64 is what percent of 5000

100%/x%=5000/523.64
(100/x)*x=(5000/523.64)*x       - we multiply both sides of the equation by x
100=9.5485448017722*x       - we divide both sides of the equation by (9.5485448017722) to get x
100/9.5485448017722=x
10.4728=x
x=10.4728

now we have:
523.64 is 10.4728% of 5000