22.79 is what percent of 25.42 - 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 25.42 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 25.42, so we can write it down as 100%=25.42.
4. We know, that x% equals 22.79 of the output value, so we can write it down as x%=22.79.
5. Now we have two simple equations:
1) 100%=25.42
2) x%=22.79
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%=25.42/22.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.79 is what percent of 25.42

100%/x%=25.42/22.79
(100/x)*x=(25.42/22.79)*x       - we multiply both sides of the equation by x
100=1.1154014918824*x       - we divide both sides of the equation by (1.1154014918824) to get x
100/1.1154014918824=x
89.653815892998=x
x=89.653815892998

now we have:
22.79 is 89.653815892998% of 25.42