106.85 is what percent of 27275.05 - 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 27275.05 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 27275.05, so we can write it down as 100%=27275.05.
4. We know, that x% equals 106.85 of the output value, so we can write it down as x%=106.85.
5. Now we have two simple equations:
1) 100%=27275.05
2) x%=106.85
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%=27275.05/106.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.85 is what percent of 27275.05

100%/x%=27275.05/106.85
(100/x)*x=(27275.05/106.85)*x       - we multiply both sides of the equation by x
100=255.26485727656*x       - we divide both sides of the equation by (255.26485727656) to get x
100/255.26485727656=x
0.39174996929428=x
x=0.39174996929428

now we have:
106.85 is 0.39174996929428% of 27275.05