54.72 is what percent of 127.5 - 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 127.5 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 127.5, so we can write it down as 100%=127.5.
4. We know, that x% equals 54.72 of the output value, so we can write it down as x%=54.72.
5. Now we have two simple equations:
1) 100%=127.5
2) x%=54.72
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%=127.5/54.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.72 is what percent of 127.5

100%/x%=127.5/54.72
(100/x)*x=(127.5/54.72)*x       - we multiply both sides of the equation by x
100=2.3300438596491*x       - we divide both sides of the equation by (2.3300438596491) to get x
100/2.3300438596491=x
42.917647058824=x
x=42.917647058824

now we have:
54.72 is 42.917647058824% of 127.5