2.72 is what percent of 4.22 - 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 4.22 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 4.22, so we can write it down as 100%=4.22.
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%=4.22
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%=4.22/2.72
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 4.22

100%/x%=4.22/2.72
(100/x)*x=(4.22/2.72)*x       - we multiply both sides of the equation by x
100=1.5514705882353*x       - we divide both sides of the equation by (1.5514705882353) to get x
100/1.5514705882353=x
64.454976303318=x
x=64.454976303318

now we have:
2.72 is 64.454976303318% of 4.22