209.99 is what percent of 2441.75 - 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 2441.75 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 2441.75, so we can write it down as 100%=2441.75.
4. We know, that x% equals 209.99 of the output value, so we can write it down as x%=209.99.
5. Now we have two simple equations:
1) 100%=2441.75
2) x%=209.99
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%=2441.75/209.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 209.99 is what percent of 2441.75

100%/x%=2441.75/209.99
(100/x)*x=(2441.75/209.99)*x       - we multiply both sides of the equation by x
100=11.627934663555*x       - we divide both sides of the equation by (11.627934663555) to get x
100/11.627934663555=x
8.5999795228832=x
x=8.5999795228832

now we have:
209.99 is 8.5999795228832% of 2441.75