10.1 is what percent of 27.25 - 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 27.25 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 27.25, so we can write it down as 100%=27.25.
4. We know, that x% equals 10.1 of the output value, so we can write it down as x%=10.1.
5. Now we have two simple equations:
1) 100%=27.25
2) x%=10.1
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%=27.25/10.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.1 is what percent of 27.25

100%/x%=27.25/10.1
(100/x)*x=(27.25/10.1)*x       - we multiply both sides of the equation by x
100=2.6980198019802*x       - we divide both sides of the equation by (2.6980198019802) to get x
100/2.6980198019802=x
37.064220183486=x
x=37.064220183486

now we have:
10.1 is 37.064220183486% of 27.25