601.9 is what percent of 662.5 - 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 662.5 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 662.5, so we can write it down as 100%=662.5.
4. We know, that x% equals 601.9 of the output value, so we can write it down as x%=601.9.
5. Now we have two simple equations:
1) 100%=662.5
2) x%=601.9
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%=662.5/601.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 601.9 is what percent of 662.5

100%/x%=662.5/601.9
(100/x)*x=(662.5/601.9)*x       - we multiply both sides of the equation by x
100=1.1006811762751*x       - we divide both sides of the equation by (1.1006811762751) to get x
100/1.1006811762751=x
90.852830188679=x
x=90.852830188679

now we have:
601.9 is 90.852830188679% of 662.5