63.33 is what percent of 74.72 - 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 74.72 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 74.72, so we can write it down as 100%=74.72.
4. We know, that x% equals 63.33 of the output value, so we can write it down as x%=63.33.
5. Now we have two simple equations:
1) 100%=74.72
2) x%=63.33
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%=74.72/63.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.33 is what percent of 74.72

100%/x%=74.72/63.33
(100/x)*x=(74.72/63.33)*x       - we multiply both sides of the equation by x
100=1.1798515711353*x       - we divide both sides of the equation by (1.1798515711353) to get x
100/1.1798515711353=x
84.756423982869=x
x=84.756423982869

now we have:
63.33 is 84.756423982869% of 74.72