32.33 is what percent of 49.95 - 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 49.95 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 49.95, so we can write it down as 100%=49.95.
4. We know, that x% equals 32.33 of the output value, so we can write it down as x%=32.33.
5. Now we have two simple equations:
1) 100%=49.95
2) x%=32.33
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%=49.95/32.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.33 is what percent of 49.95

100%/x%=49.95/32.33
(100/x)*x=(49.95/32.33)*x       - we multiply both sides of the equation by x
100=1.5450046396536*x       - we divide both sides of the equation by (1.5450046396536) to get x
100/1.5450046396536=x
64.724724724725=x
x=64.724724724725

now we have:
32.33 is 64.724724724725% of 49.95