11.2 is what percent of 41.8 - 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 41.8 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 41.8, so we can write it down as 100%=41.8.
4. We know, that x% equals 11.2 of the output value, so we can write it down as x%=11.2.
5. Now we have two simple equations:
1) 100%=41.8
2) x%=11.2
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%=41.8/11.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.2 is what percent of 41.8

100%/x%=41.8/11.2
(100/x)*x=(41.8/11.2)*x       - we multiply both sides of the equation by x
100=3.7321428571429*x       - we divide both sides of the equation by (3.7321428571429) to get x
100/3.7321428571429=x
26.794258373206=x
x=26.794258373206

now we have:
11.2 is 26.794258373206% of 41.8