36.8 is what percent of 374 - 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 374 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 374, so we can write it down as 100%=374.
4. We know, that x% equals 36.8 of the output value, so we can write it down as x%=36.8.
5. Now we have two simple equations:
1) 100%=374
2) x%=36.8
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%=374/36.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.8 is what percent of 374

100%/x%=374/36.8
(100/x)*x=(374/36.8)*x       - we multiply both sides of the equation by x
100=10.163043478261*x       - we divide both sides of the equation by (10.163043478261) to get x
100/10.163043478261=x
9.8395721925134=x
x=9.8395721925134

now we have:
36.8 is 9.8395721925134% of 374