0.8 is what percent of 10.9 - 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 10.9 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 10.9, so we can write it down as 100%=10.9.
4. We know, that x% equals 0.8 of the output value, so we can write it down as x%=0.8.
5. Now we have two simple equations:
1) 100%=10.9
2) x%=0.8
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%=10.9/0.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.8 is what percent of 10.9

100%/x%=10.9/0.8
(100/x)*x=(10.9/0.8)*x       - we multiply both sides of the equation by x
100=13.625*x       - we divide both sides of the equation by (13.625) to get x
100/13.625=x
7.3394495412844=x
x=7.3394495412844

now we have:
0.8 is 7.3394495412844% of 10.9