10.09 is what percent of 2.72 - 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 2.72 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 2.72, so we can write it down as 100%=2.72.
4. We know, that x% equals 10.09 of the output value, so we can write it down as x%=10.09.
5. Now we have two simple equations:
1) 100%=2.72
2) x%=10.09
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%=2.72/10.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.09 is what percent of 2.72

100%/x%=2.72/10.09
(100/x)*x=(2.72/10.09)*x       - we multiply both sides of the equation by x
100=0.26957383548067*x       - we divide both sides of the equation by (0.26957383548067) to get x
100/0.26957383548067=x
370.95588235294=x
x=370.95588235294

now we have:
10.09 is 370.95588235294% of 2.72