22.28 is what percent of 29.99 - 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 29.99 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 29.99, so we can write it down as 100%=29.99.
4. We know, that x% equals 22.28 of the output value, so we can write it down as x%=22.28.
5. Now we have two simple equations:
1) 100%=29.99
2) x%=22.28
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%=29.99/22.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.28 is what percent of 29.99

100%/x%=29.99/22.28
(100/x)*x=(29.99/22.28)*x       - we multiply both sides of the equation by x
100=1.3460502692998*x       - we divide both sides of the equation by (1.3460502692998) to get x
100/1.3460502692998=x
74.291430476826=x
x=74.291430476826

now we have:
22.28 is 74.291430476826% of 29.99