97.2 is what percent of 572.2 - 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 572.2 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 572.2, so we can write it down as 100%=572.2.
4. We know, that x% equals 97.2 of the output value, so we can write it down as x%=97.2.
5. Now we have two simple equations:
1) 100%=572.2
2) x%=97.2
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%=572.2/97.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.2 is what percent of 572.2

100%/x%=572.2/97.2
(100/x)*x=(572.2/97.2)*x       - we multiply both sides of the equation by x
100=5.8868312757202*x       - we divide both sides of the equation by (5.8868312757202) to get x
100/5.8868312757202=x
16.98706745893=x
x=16.98706745893

now we have:
97.2 is 16.98706745893% of 572.2