370.8 is what percent of 3129.75 - 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 3129.75 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 3129.75, so we can write it down as 100%=3129.75.
4. We know, that x% equals 370.8 of the output value, so we can write it down as x%=370.8.
5. Now we have two simple equations:
1) 100%=3129.75
2) x%=370.8
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%=3129.75/370.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 370.8 is what percent of 3129.75

100%/x%=3129.75/370.8
(100/x)*x=(3129.75/370.8)*x       - we multiply both sides of the equation by x
100=8.4405339805825*x       - we divide both sides of the equation by (8.4405339805825) to get x
100/8.4405339805825=x
11.847591660676=x
x=11.847591660676

now we have:
370.8 is 11.847591660676% of 3129.75