11.22 is what percent of 27.42 - 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 27.42 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 27.42, so we can write it down as 100%=27.42.
4. We know, that x% equals 11.22 of the output value, so we can write it down as x%=11.22.
5. Now we have two simple equations:
1) 100%=27.42
2) x%=11.22
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%=27.42/11.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.22 is what percent of 27.42

100%/x%=27.42/11.22
(100/x)*x=(27.42/11.22)*x       - we multiply both sides of the equation by x
100=2.4438502673797*x       - we divide both sides of the equation by (2.4438502673797) to get x
100/2.4438502673797=x
40.919037199125=x
x=40.919037199125

now we have:
11.22 is 40.919037199125% of 27.42