10.9 is what percent of 22.78 - 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 22.78 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 22.78, so we can write it down as 100%=22.78.
4. We know, that x% equals 10.9 of the output value, so we can write it down as x%=10.9.
5. Now we have two simple equations:
1) 100%=22.78
2) x%=10.9
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%=22.78/10.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.9 is what percent of 22.78

100%/x%=22.78/10.9
(100/x)*x=(22.78/10.9)*x       - we multiply both sides of the equation by x
100=2.0899082568807*x       - we divide both sides of the equation by (2.0899082568807) to get x
100/2.0899082568807=x
47.848990342406=x
x=47.848990342406

now we have:
10.9 is 47.848990342406% of 22.78