106.96 is what percent of 572.6 - 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 572.6 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 572.6, so we can write it down as 100%=572.6.
4. We know, that x% equals 106.96 of the output value, so we can write it down as x%=106.96.
5. Now we have two simple equations:
1) 100%=572.6
2) x%=106.96
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%=572.6/106.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.96 is what percent of 572.6

100%/x%=572.6/106.96
(100/x)*x=(572.6/106.96)*x       - we multiply both sides of the equation by x
100=5.3534031413613*x       - we divide both sides of the equation by (5.3534031413613) to get x
100/5.3534031413613=x
18.679706601467=x
x=18.679706601467

now we have:
106.96 is 18.679706601467% of 572.6