1.8 is what percent of 1.109 - 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 1.109 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 1.109, so we can write it down as 100%=1.109.
4. We know, that x% equals 1.8 of the output value, so we can write it down as x%=1.8.
5. Now we have two simple equations:
1) 100%=1.109
2) x%=1.8
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%=1.109/1.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.8 is what percent of 1.109

100%/x%=1.109/1.8
(100/x)*x=(1.109/1.8)*x       - we multiply both sides of the equation by x
100=0.61611111111111*x       - we divide both sides of the equation by (0.61611111111111) to get x
100/0.61611111111111=x
162.30838593327=x
x=162.30838593327

now we have:
1.8 is 162.30838593327% of 1.109