60.64 is what percent of 142.54 - 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 142.54 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 142.54, so we can write it down as 100%=142.54.
4. We know, that x% equals 60.64 of the output value, so we can write it down as x%=60.64.
5. Now we have two simple equations:
1) 100%=142.54
2) x%=60.64
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%=142.54/60.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.64 is what percent of 142.54

100%/x%=142.54/60.64
(100/x)*x=(142.54/60.64)*x       - we multiply both sides of the equation by x
100=2.3505936675462*x       - we divide both sides of the equation by (2.3505936675462) to get x
100/2.3505936675462=x
42.542444226182=x
x=42.542444226182

now we have:
60.64 is 42.542444226182% of 142.54