28.02 is what percent of 82.852 - 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 82.852 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 82.852, so we can write it down as 100%=82.852.
4. We know, that x% equals 28.02 of the output value, so we can write it down as x%=28.02.
5. Now we have two simple equations:
1) 100%=82.852
2) x%=28.02
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%=82.852/28.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.02 is what percent of 82.852

100%/x%=82.852/28.02
(100/x)*x=(82.852/28.02)*x       - we multiply both sides of the equation by x
100=2.9568879371877*x       - we divide both sides of the equation by (2.9568879371877) to get x
100/2.9568879371877=x
33.81934051079=x
x=33.81934051079

now we have:
28.02 is 33.81934051079% of 82.852