20.83 is what percent of 104.72 - 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 104.72 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 104.72, so we can write it down as 100%=104.72.
4. We know, that x% equals 20.83 of the output value, so we can write it down as x%=20.83.
5. Now we have two simple equations:
1) 100%=104.72
2) x%=20.83
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%=104.72/20.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.83 is what percent of 104.72

100%/x%=104.72/20.83
(100/x)*x=(104.72/20.83)*x       - we multiply both sides of the equation by x
100=5.0273643783005*x       - we divide both sides of the equation by (5.0273643783005) to get x
100/5.0273643783005=x
19.891138273491=x
x=19.891138273491

now we have:
20.83 is 19.891138273491% of 104.72