5.54 is what percent of 137.5 - 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 137.5 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 137.5, so we can write it down as 100%=137.5.
4. We know, that x% equals 5.54 of the output value, so we can write it down as x%=5.54.
5. Now we have two simple equations:
1) 100%=137.5
2) x%=5.54
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%=137.5/5.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.54 is what percent of 137.5

100%/x%=137.5/5.54
(100/x)*x=(137.5/5.54)*x       - we multiply both sides of the equation by x
100=24.819494584838*x       - we divide both sides of the equation by (24.819494584838) to get x
100/24.819494584838=x
4.0290909090909=x
x=4.0290909090909

now we have:
5.54 is 4.0290909090909% of 137.5