370.55 is what percent of 523.5 - 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 523.5 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 523.5, so we can write it down as 100%=523.5.
4. We know, that x% equals 370.55 of the output value, so we can write it down as x%=370.55.
5. Now we have two simple equations:
1) 100%=523.5
2) x%=370.55
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%=523.5/370.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 370.55 is what percent of 523.5

100%/x%=523.5/370.55
(100/x)*x=(523.5/370.55)*x       - we multiply both sides of the equation by x
100=1.4127648090676*x       - we divide both sides of the equation by (1.4127648090676) to get x
100/1.4127648090676=x
70.783190066858=x
x=70.783190066858

now we have:
370.55 is 70.783190066858% of 523.5