144.46 is what percent of 220 - 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 220 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 220, so we can write it down as 100%=220.
4. We know, that x% equals 144.46 of the output value, so we can write it down as x%=144.46.
5. Now we have two simple equations:
1) 100%=220
2) x%=144.46
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%=220/144.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.46 is what percent of 220

100%/x%=220/144.46
(100/x)*x=(220/144.46)*x       - we multiply both sides of the equation by x
100=1.5229129170705*x       - we divide both sides of the equation by (1.5229129170705) to get x
100/1.5229129170705=x
65.663636363636=x
x=65.663636363636

now we have:
144.46 is 65.663636363636% of 220