45.33 is what percent of 61.33 - 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 61.33 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 61.33, so we can write it down as 100%=61.33.
4. We know, that x% equals 45.33 of the output value, so we can write it down as x%=45.33.
5. Now we have two simple equations:
1) 100%=61.33
2) x%=45.33
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%=61.33/45.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.33 is what percent of 61.33

100%/x%=61.33/45.33
(100/x)*x=(61.33/45.33)*x       - we multiply both sides of the equation by x
100=1.352967129936*x       - we divide both sides of the equation by (1.352967129936) to get x
100/1.352967129936=x
73.911625631828=x
x=73.911625631828

now we have:
45.33 is 73.911625631828% of 61.33