30.13 is what percent of 1255.36 - 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 1255.36 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 1255.36, so we can write it down as 100%=1255.36.
4. We know, that x% equals 30.13 of the output value, so we can write it down as x%=30.13.
5. Now we have two simple equations:
1) 100%=1255.36
2) x%=30.13
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%=1255.36/30.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.13 is what percent of 1255.36

100%/x%=1255.36/30.13
(100/x)*x=(1255.36/30.13)*x       - we multiply both sides of the equation by x
100=41.664785927647*x       - we divide both sides of the equation by (41.664785927647) to get x
100/41.664785927647=x
2.4001083354576=x
x=2.4001083354576

now we have:
30.13 is 2.4001083354576% of 1255.36