32.76 is what percent of 72.84 - 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 72.84 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 72.84, so we can write it down as 100%=72.84.
4. We know, that x% equals 32.76 of the output value, so we can write it down as x%=32.76.
5. Now we have two simple equations:
1) 100%=72.84
2) x%=32.76
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%=72.84/32.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.76 is what percent of 72.84

100%/x%=72.84/32.76
(100/x)*x=(72.84/32.76)*x       - we multiply both sides of the equation by x
100=2.2234432234432*x       - we divide both sides of the equation by (2.2234432234432) to get x
100/2.2234432234432=x
44.97528830313=x
x=44.97528830313

now we have:
32.76 is 44.97528830313% of 72.84