660.98 is what percent of 1290.52 - 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 1290.52 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 1290.52, so we can write it down as 100%=1290.52.
4. We know, that x% equals 660.98 of the output value, so we can write it down as x%=660.98.
5. Now we have two simple equations:
1) 100%=1290.52
2) x%=660.98
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%=1290.52/660.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 660.98 is what percent of 1290.52

100%/x%=1290.52/660.98
(100/x)*x=(1290.52/660.98)*x       - we multiply both sides of the equation by x
100=1.9524342642743*x       - we divide both sides of the equation by (1.9524342642743) to get x
100/1.9524342642743=x
51.218113628615=x
x=51.218113628615

now we have:
660.98 is 51.218113628615% of 1290.52