2.72 is what percent of 31.76 - 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 31.76 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 31.76, so we can write it down as 100%=31.76.
4. We know, that x% equals 2.72 of the output value, so we can write it down as x%=2.72.
5. Now we have two simple equations:
1) 100%=31.76
2) x%=2.72
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%=31.76/2.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.72 is what percent of 31.76

100%/x%=31.76/2.72
(100/x)*x=(31.76/2.72)*x       - we multiply both sides of the equation by x
100=11.676470588235*x       - we divide both sides of the equation by (11.676470588235) to get x
100/11.676470588235=x
8.5642317380353=x
x=8.5642317380353

now we have:
2.72 is 8.5642317380353% of 31.76