220.08 is what percent of 1600.4 - 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 1600.4 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 1600.4, so we can write it down as 100%=1600.4.
4. We know, that x% equals 220.08 of the output value, so we can write it down as x%=220.08.
5. Now we have two simple equations:
1) 100%=1600.4
2) x%=220.08
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%=1600.4/220.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 220.08 is what percent of 1600.4

100%/x%=1600.4/220.08
(100/x)*x=(1600.4/220.08)*x       - we multiply both sides of the equation by x
100=7.271901126863*x       - we divide both sides of the equation by (7.271901126863) to get x
100/7.271901126863=x
13.751562109473=x
x=13.751562109473

now we have:
220.08 is 13.751562109473% of 1600.4