37.6 is what percent of 249 - 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 249 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 249, so we can write it down as 100%=249.
4. We know, that x% equals 37.6 of the output value, so we can write it down as x%=37.6.
5. Now we have two simple equations:
1) 100%=249
2) x%=37.6
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%=249/37.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.6 is what percent of 249

100%/x%=249/37.6
(100/x)*x=(249/37.6)*x       - we multiply both sides of the equation by x
100=6.6223404255319*x       - we divide both sides of the equation by (6.6223404255319) to get x
100/6.6223404255319=x
15.100401606426=x
x=15.100401606426

now we have:
37.6 is 15.100401606426% of 249