529.46 is what percent of 2523.47 - 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 2523.47 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 2523.47, so we can write it down as 100%=2523.47.
4. We know, that x% equals 529.46 of the output value, so we can write it down as x%=529.46.
5. Now we have two simple equations:
1) 100%=2523.47
2) x%=529.46
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%=2523.47/529.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 529.46 is what percent of 2523.47

100%/x%=2523.47/529.46
(100/x)*x=(2523.47/529.46)*x       - we multiply both sides of the equation by x
100=4.7661201979375*x       - we divide both sides of the equation by (4.7661201979375) to get x
100/4.7661201979375=x
20.981426369246=x
x=20.981426369246

now we have:
529.46 is 20.981426369246% of 2523.47