106.5 is what percent of 562.5 - 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 562.5 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 562.5, so we can write it down as 100%=562.5.
4. We know, that x% equals 106.5 of the output value, so we can write it down as x%=106.5.
5. Now we have two simple equations:
1) 100%=562.5
2) x%=106.5
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%=562.5/106.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.5 is what percent of 562.5

100%/x%=562.5/106.5
(100/x)*x=(562.5/106.5)*x       - we multiply both sides of the equation by x
100=5.2816901408451*x       - we divide both sides of the equation by (5.2816901408451) to get x
100/5.2816901408451=x
18.933333333333=x
x=18.933333333333

now we have:
106.5 is 18.933333333333% of 562.5