580.07 is what percent of 870 - 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 870 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 870, so we can write it down as 100%=870.
4. We know, that x% equals 580.07 of the output value, so we can write it down as x%=580.07.
5. Now we have two simple equations:
1) 100%=870
2) x%=580.07
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%=870/580.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 580.07 is what percent of 870

100%/x%=870/580.07
(100/x)*x=(870/580.07)*x       - we multiply both sides of the equation by x
100=1.4998189873636*x       - we divide both sides of the equation by (1.4998189873636) to get x
100/1.4998189873636=x
66.674712643678=x
x=66.674712643678

now we have:
580.07 is 66.674712643678% of 870