60.5 is what percent of 106.5 - 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 106.5 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 106.5, so we can write it down as 100%=106.5.
4. We know, that x% equals 60.5 of the output value, so we can write it down as x%=60.5.
5. Now we have two simple equations:
1) 100%=106.5
2) x%=60.5
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%=106.5/60.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.5 is what percent of 106.5

100%/x%=106.5/60.5
(100/x)*x=(106.5/60.5)*x       - we multiply both sides of the equation by x
100=1.7603305785124*x       - we divide both sides of the equation by (1.7603305785124) to get x
100/1.7603305785124=x
56.807511737089=x
x=56.807511737089

now we have:
60.5 is 56.807511737089% of 106.5