37.6 is what percent of 287 - 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 287 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 287, so we can write it down as 100%=287.
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%=287
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%=287/37.6
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 287

100%/x%=287/37.6
(100/x)*x=(287/37.6)*x       - we multiply both sides of the equation by x
100=7.6329787234043*x       - we divide both sides of the equation by (7.6329787234043) to get x
100/7.6329787234043=x
13.101045296167=x
x=13.101045296167

now we have:
37.6 is 13.101045296167% of 287