209.97 is what percent of 1202.24 - 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 1202.24 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 1202.24, so we can write it down as 100%=1202.24.
4. We know, that x% equals 209.97 of the output value, so we can write it down as x%=209.97.
5. Now we have two simple equations:
1) 100%=1202.24
2) x%=209.97
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%=1202.24/209.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 209.97 is what percent of 1202.24

100%/x%=1202.24/209.97
(100/x)*x=(1202.24/209.97)*x       - we multiply both sides of the equation by x
100=5.725770348145*x       - we divide both sides of the equation by (5.725770348145) to get x
100/5.725770348145=x
17.46489885547=x
x=17.46489885547

now we have:
209.97 is 17.46489885547% of 1202.24