371.1 is what percent of 520.2 - 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 520.2 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 520.2, so we can write it down as 100%=520.2.
4. We know, that x% equals 371.1 of the output value, so we can write it down as x%=371.1.
5. Now we have two simple equations:
1) 100%=520.2
2) x%=371.1
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%=520.2/371.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 371.1 is what percent of 520.2

100%/x%=520.2/371.1
(100/x)*x=(520.2/371.1)*x       - we multiply both sides of the equation by x
100=1.4017784963622*x       - we divide both sides of the equation by (1.4017784963622) to get x
100/1.4017784963622=x
71.337946943483=x
x=71.337946943483

now we have:
371.1 is 71.337946943483% of 520.2