37.15 is what percent of 105 - 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 105 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 105, so we can write it down as 100%=105.
4. We know, that x% equals 37.15 of the output value, so we can write it down as x%=37.15.
5. Now we have two simple equations:
1) 100%=105
2) x%=37.15
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%=105/37.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.15 is what percent of 105

100%/x%=105/37.15
(100/x)*x=(105/37.15)*x       - we multiply both sides of the equation by x
100=2.8263795423957*x       - we divide both sides of the equation by (2.8263795423957) to get x
100/2.8263795423957=x
35.380952380952=x
x=35.380952380952

now we have:
37.15 is 35.380952380952% of 105