2.22 is what percent of 7.46 - 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 7.46 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 7.46, so we can write it down as 100%=7.46.
4. We know, that x% equals 2.22 of the output value, so we can write it down as x%=2.22.
5. Now we have two simple equations:
1) 100%=7.46
2) x%=2.22
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%=7.46/2.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.22 is what percent of 7.46

100%/x%=7.46/2.22
(100/x)*x=(7.46/2.22)*x       - we multiply both sides of the equation by x
100=3.3603603603604*x       - we divide both sides of the equation by (3.3603603603604) to get x
100/3.3603603603604=x
29.758713136729=x
x=29.758713136729

now we have:
2.22 is 29.758713136729% of 7.46