742.48 is what percent of 2425.16 - 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 2425.16 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 2425.16, so we can write it down as 100%=2425.16.
4. We know, that x% equals 742.48 of the output value, so we can write it down as x%=742.48.
5. Now we have two simple equations:
1) 100%=2425.16
2) x%=742.48
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%=2425.16/742.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 742.48 is what percent of 2425.16

100%/x%=2425.16/742.48
(100/x)*x=(2425.16/742.48)*x       - we multiply both sides of the equation by x
100=3.2662967352656*x       - we divide both sides of the equation by (3.2662967352656) to get x
100/3.2662967352656=x
30.615711953026=x
x=30.615711953026

now we have:
742.48 is 30.615711953026% of 2425.16