1.12 is what percent of 22.35 - 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 22.35 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 22.35, so we can write it down as 100%=22.35.
4. We know, that x% equals 1.12 of the output value, so we can write it down as x%=1.12.
5. Now we have two simple equations:
1) 100%=22.35
2) x%=1.12
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%=22.35/1.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.12 is what percent of 22.35

100%/x%=22.35/1.12
(100/x)*x=(22.35/1.12)*x       - we multiply both sides of the equation by x
100=19.955357142857*x       - we divide both sides of the equation by (19.955357142857) to get x
100/19.955357142857=x
5.0111856823266=x
x=5.0111856823266

now we have:
1.12 is 5.0111856823266% of 22.35