580.67 is what percent of 820 - 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 820 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 820, so we can write it down as 100%=820.
4. We know, that x% equals 580.67 of the output value, so we can write it down as x%=580.67.
5. Now we have two simple equations:
1) 100%=820
2) x%=580.67
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%=820/580.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 580.67 is what percent of 820

100%/x%=820/580.67
(100/x)*x=(820/580.67)*x       - we multiply both sides of the equation by x
100=1.412161813078*x       - we divide both sides of the equation by (1.412161813078) to get x
100/1.412161813078=x
70.813414634146=x
x=70.813414634146

now we have:
580.67 is 70.813414634146% of 820