54.07 is what percent of 1372.8 - 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 1372.8 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 1372.8, so we can write it down as 100%=1372.8.
4. We know, that x% equals 54.07 of the output value, so we can write it down as x%=54.07.
5. Now we have two simple equations:
1) 100%=1372.8
2) x%=54.07
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%=1372.8/54.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.07 is what percent of 1372.8

100%/x%=1372.8/54.07
(100/x)*x=(1372.8/54.07)*x       - we multiply both sides of the equation by x
100=25.389310153505*x       - we divide both sides of the equation by (25.389310153505) to get x
100/25.389310153505=x
3.9386655011655=x
x=3.9386655011655

now we have:
54.07 is 3.9386655011655% of 1372.8