398.33 is what percent of 37736.5 - 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 37736.5 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 37736.5, so we can write it down as 100%=37736.5.
4. We know, that x% equals 398.33 of the output value, so we can write it down as x%=398.33.
5. Now we have two simple equations:
1) 100%=37736.5
2) x%=398.33
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%=37736.5/398.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 398.33 is what percent of 37736.5

100%/x%=37736.5/398.33
(100/x)*x=(37736.5/398.33)*x       - we multiply both sides of the equation by x
100=94.736776039967*x       - we divide both sides of the equation by (94.736776039967) to get x
100/94.736776039967=x
1.055556291654=x
x=1.055556291654

now we have:
398.33 is 1.055556291654% of 37736.5