27.8 is what percent of 226.8 - 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 226.8 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 226.8, so we can write it down as 100%=226.8.
4. We know, that x% equals 27.8 of the output value, so we can write it down as x%=27.8.
5. Now we have two simple equations:
1) 100%=226.8
2) x%=27.8
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%=226.8/27.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.8 is what percent of 226.8

100%/x%=226.8/27.8
(100/x)*x=(226.8/27.8)*x       - we multiply both sides of the equation by x
100=8.158273381295*x       - we divide both sides of the equation by (8.158273381295) to get x
100/8.158273381295=x
12.257495590829=x
x=12.257495590829

now we have:
27.8 is 12.257495590829% of 226.8