610.17 is what percent of 924.5 - 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 924.5 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 924.5, so we can write it down as 100%=924.5.
4. We know, that x% equals 610.17 of the output value, so we can write it down as x%=610.17.
5. Now we have two simple equations:
1) 100%=924.5
2) x%=610.17
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%=924.5/610.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 610.17 is what percent of 924.5

100%/x%=924.5/610.17
(100/x)*x=(924.5/610.17)*x       - we multiply both sides of the equation by x
100=1.5151515151515*x       - we divide both sides of the equation by (1.5151515151515) to get x
100/1.5151515151515=x
66=x
x=66

now we have:
610.17 is 66% of 924.5