60 is what percent of 586.5 - 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 586.5 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 586.5, so we can write it down as 100%=586.5.
4. We know, that x% equals 60 of the output value, so we can write it down as x%=60.
5. Now we have two simple equations:
1) 100%=586.5
2) x%=60
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%=586.5/60
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60 is what percent of 586.5

100%/x%=586.5/60
(100/x)*x=(586.5/60)*x       - we multiply both sides of the equation by x
100=9.775*x       - we divide both sides of the equation by (9.775) to get x
100/9.775=x
10.230179028133=x
x=10.230179028133

now we have:
60 is 10.230179028133% of 586.5