12.99 is what percent of 37.01 - 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 37.01 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 37.01, so we can write it down as 100%=37.01.
4. We know, that x% equals 12.99 of the output value, so we can write it down as x%=12.99.
5. Now we have two simple equations:
1) 100%=37.01
2) x%=12.99
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%=37.01/12.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.99 is what percent of 37.01

100%/x%=37.01/12.99
(100/x)*x=(37.01/12.99)*x       - we multiply both sides of the equation by x
100=2.8491147036182*x       - we divide both sides of the equation by (2.8491147036182) to get x
100/2.8491147036182=x
35.098621994056=x
x=35.098621994056

now we have:
12.99 is 35.098621994056% of 37.01