30.57 is what percent of 133.55 - 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 133.55 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 133.55, so we can write it down as 100%=133.55.
4. We know, that x% equals 30.57 of the output value, so we can write it down as x%=30.57.
5. Now we have two simple equations:
1) 100%=133.55
2) x%=30.57
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%=133.55/30.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.57 is what percent of 133.55

100%/x%=133.55/30.57
(100/x)*x=(133.55/30.57)*x       - we multiply both sides of the equation by x
100=4.3686620870134*x       - we divide both sides of the equation by (4.3686620870134) to get x
100/4.3686620870134=x
22.890303257207=x
x=22.890303257207

now we have:
30.57 is 22.890303257207% of 133.55