820.56 is what percent of 5921.7 - 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 5921.7 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 5921.7, so we can write it down as 100%=5921.7.
4. We know, that x% equals 820.56 of the output value, so we can write it down as x%=820.56.
5. Now we have two simple equations:
1) 100%=5921.7
2) x%=820.56
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%=5921.7/820.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 820.56 is what percent of 5921.7

100%/x%=5921.7/820.56
(100/x)*x=(5921.7/820.56)*x       - we multiply both sides of the equation by x
100=7.2166569172273*x       - we divide both sides of the equation by (7.2166569172273) to get x
100/7.2166569172273=x
13.856831653073=x
x=13.856831653073

now we have:
820.56 is 13.856831653073% of 5921.7