580.84 is what percent of 5940.84 - 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 5940.84 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 5940.84, so we can write it down as 100%=5940.84.
4. We know, that x% equals 580.84 of the output value, so we can write it down as x%=580.84.
5. Now we have two simple equations:
1) 100%=5940.84
2) x%=580.84
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%=5940.84/580.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 580.84 is what percent of 5940.84

100%/x%=5940.84/580.84
(100/x)*x=(5940.84/580.84)*x       - we multiply both sides of the equation by x
100=10.228014599545*x       - we divide both sides of the equation by (10.228014599545) to get x
100/10.228014599545=x
9.7770685626948=x
x=9.7770685626948

now we have:
580.84 is 9.7770685626948% of 5940.84