169.8 is what percent of 1209.8 - 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 1209.8 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 1209.8, so we can write it down as 100%=1209.8.
4. We know, that x% equals 169.8 of the output value, so we can write it down as x%=169.8.
5. Now we have two simple equations:
1) 100%=1209.8
2) x%=169.8
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%=1209.8/169.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 169.8 is what percent of 1209.8

100%/x%=1209.8/169.8
(100/x)*x=(1209.8/169.8)*x       - we multiply both sides of the equation by x
100=7.1248527679623*x       - we divide both sides of the equation by (7.1248527679623) to get x
100/7.1248527679623=x
14.035377748388=x
x=14.035377748388

now we have:
169.8 is 14.035377748388% of 1209.8