574.29 is what percent of 2722.5 - 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 2722.5 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 2722.5, so we can write it down as 100%=2722.5.
4. We know, that x% equals 574.29 of the output value, so we can write it down as x%=574.29.
5. Now we have two simple equations:
1) 100%=2722.5
2) x%=574.29
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%=2722.5/574.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 574.29 is what percent of 2722.5

100%/x%=2722.5/574.29
(100/x)*x=(2722.5/574.29)*x       - we multiply both sides of the equation by x
100=4.7406362639085*x       - we divide both sides of the equation by (4.7406362639085) to get x
100/4.7406362639085=x
21.094214876033=x
x=21.094214876033

now we have:
574.29 is 21.094214876033% of 2722.5