370.41 is what percent of 396.7 - 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 396.7 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 396.7, so we can write it down as 100%=396.7.
4. We know, that x% equals 370.41 of the output value, so we can write it down as x%=370.41.
5. Now we have two simple equations:
1) 100%=396.7
2) x%=370.41
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%=396.7/370.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 370.41 is what percent of 396.7

100%/x%=396.7/370.41
(100/x)*x=(396.7/370.41)*x       - we multiply both sides of the equation by x
100=1.0709754056316*x       - we divide both sides of the equation by (1.0709754056316) to get x
100/1.0709754056316=x
93.372825812957=x
x=93.372825812957

now we have:
370.41 is 93.372825812957% of 396.7