22.48 is what percent of 77.53 - 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 77.53 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 77.53, so we can write it down as 100%=77.53.
4. We know, that x% equals 22.48 of the output value, so we can write it down as x%=22.48.
5. Now we have two simple equations:
1) 100%=77.53
2) x%=22.48
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%=77.53/22.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.48 is what percent of 77.53

100%/x%=77.53/22.48
(100/x)*x=(77.53/22.48)*x       - we multiply both sides of the equation by x
100=3.4488434163701*x       - we divide both sides of the equation by (3.4488434163701) to get x
100/3.4488434163701=x
28.995227653811=x
x=28.995227653811

now we have:
22.48 is 28.995227653811% of 77.53