722.5 is what percent of 1260 - 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 1260 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 1260, so we can write it down as 100%=1260.
4. We know, that x% equals 722.5 of the output value, so we can write it down as x%=722.5.
5. Now we have two simple equations:
1) 100%=1260
2) x%=722.5
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%=1260/722.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 722.5 is what percent of 1260

100%/x%=1260/722.5
(100/x)*x=(1260/722.5)*x       - we multiply both sides of the equation by x
100=1.7439446366782*x       - we divide both sides of the equation by (1.7439446366782) to get x
100/1.7439446366782=x
57.34126984127=x
x=57.34126984127

now we have:
722.5 is 57.34126984127% of 1260