54.45 is what percent of 61.41 - 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 61.41 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 61.41, so we can write it down as 100%=61.41.
4. We know, that x% equals 54.45 of the output value, so we can write it down as x%=54.45.
5. Now we have two simple equations:
1) 100%=61.41
2) x%=54.45
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%=61.41/54.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.45 is what percent of 61.41

100%/x%=61.41/54.45
(100/x)*x=(61.41/54.45)*x       - we multiply both sides of the equation by x
100=1.1278236914601*x       - we divide both sides of the equation by (1.1278236914601) to get x
100/1.1278236914601=x
88.66634098681=x
x=88.66634098681

now we have:
54.45 is 88.66634098681% of 61.41