752.25 is what percent of 3025 - 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 3025 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 3025, so we can write it down as 100%=3025.
4. We know, that x% equals 752.25 of the output value, so we can write it down as x%=752.25.
5. Now we have two simple equations:
1) 100%=3025
2) x%=752.25
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%=3025/752.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 752.25 is what percent of 3025

100%/x%=3025/752.25
(100/x)*x=(3025/752.25)*x       - we multiply both sides of the equation by x
100=4.0212695247591*x       - we divide both sides of the equation by (4.0212695247591) to get x
100/4.0212695247591=x
24.867768595041=x
x=24.867768595041

now we have:
752.25 is 24.867768595041% of 3025