218.5 is what percent of 572 - 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 572 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 572, so we can write it down as 100%=572.
4. We know, that x% equals 218.5 of the output value, so we can write it down as x%=218.5.
5. Now we have two simple equations:
1) 100%=572
2) x%=218.5
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%=572/218.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 218.5 is what percent of 572

100%/x%=572/218.5
(100/x)*x=(572/218.5)*x       - we multiply both sides of the equation by x
100=2.6178489702517*x       - we divide both sides of the equation by (2.6178489702517) to get x
100/2.6178489702517=x
38.199300699301=x
x=38.199300699301

now we have:
218.5 is 38.199300699301% of 572