2.2 is what percent of 1.35 - 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 1.35 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 1.35, so we can write it down as 100%=1.35.
4. We know, that x% equals 2.2 of the output value, so we can write it down as x%=2.2.
5. Now we have two simple equations:
1) 100%=1.35
2) x%=2.2
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%=1.35/2.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.2 is what percent of 1.35

100%/x%=1.35/2.2
(100/x)*x=(1.35/2.2)*x       - we multiply both sides of the equation by x
100=0.61363636363636*x       - we divide both sides of the equation by (0.61363636363636) to get x
100/0.61363636363636=x
162.96296296296=x
x=162.96296296296

now we have:
2.2 is 162.96296296296% of 1.35