47.95 is what percent of 54.5 - 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 54.5 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 54.5, so we can write it down as 100%=54.5.
4. We know, that x% equals 47.95 of the output value, so we can write it down as x%=47.95.
5. Now we have two simple equations:
1) 100%=54.5
2) x%=47.95
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%=54.5/47.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.95 is what percent of 54.5

100%/x%=54.5/47.95
(100/x)*x=(54.5/47.95)*x       - we multiply both sides of the equation by x
100=1.1366006256517*x       - we divide both sides of the equation by (1.1366006256517) to get x
100/1.1366006256517=x
87.981651376147=x
x=87.981651376147

now we have:
47.95 is 87.981651376147% of 54.5