109.9 is what percent of 266.4 - 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 266.4 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 266.4, so we can write it down as 100%=266.4.
4. We know, that x% equals 109.9 of the output value, so we can write it down as x%=109.9.
5. Now we have two simple equations:
1) 100%=266.4
2) x%=109.9
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%=266.4/109.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.9 is what percent of 266.4

100%/x%=266.4/109.9
(100/x)*x=(266.4/109.9)*x       - we multiply both sides of the equation by x
100=2.4240218380346*x       - we divide both sides of the equation by (2.4240218380346) to get x
100/2.4240218380346=x
41.253753753754=x
x=41.253753753754

now we have:
109.9 is 41.253753753754% of 266.4