127.07 is what percent of 375.3 - 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 375.3 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 375.3, so we can write it down as 100%=375.3.
4. We know, that x% equals 127.07 of the output value, so we can write it down as x%=127.07.
5. Now we have two simple equations:
1) 100%=375.3
2) x%=127.07
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%=375.3/127.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 127.07 is what percent of 375.3

100%/x%=375.3/127.07
(100/x)*x=(375.3/127.07)*x       - we multiply both sides of the equation by x
100=2.9534902022507*x       - we divide both sides of the equation by (2.9534902022507) to get x
100/2.9534902022507=x
33.858246735945=x
x=33.858246735945

now we have:
127.07 is 33.858246735945% of 375.3