12972.8 is what percent of 37972.8 - 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 37972.8 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 37972.8, so we can write it down as 100%=37972.8.
4. We know, that x% equals 12972.8 of the output value, so we can write it down as x%=12972.8.
5. Now we have two simple equations:
1) 100%=37972.8
2) x%=12972.8
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%=37972.8/12972.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12972.8 is what percent of 37972.8

100%/x%=37972.8/12972.8
(100/x)*x=(37972.8/12972.8)*x       - we multiply both sides of the equation by x
100=2.9271090281204*x       - we divide both sides of the equation by (2.9271090281204) to get x
100/2.9271090281204=x
34.163401171365=x
x=34.163401171365

now we have:
12972.8 is 34.163401171365% of 37972.8