199.16 is what percent of 1600 - 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 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, so we can write it down as 100%=1600.
4. We know, that x% equals 199.16 of the output value, so we can write it down as x%=199.16.
5. Now we have two simple equations:
1) 100%=1600
2) x%=199.16
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%=1600/199.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.16 is what percent of 1600

100%/x%=1600/199.16
(100/x)*x=(1600/199.16)*x       - we multiply both sides of the equation by x
100=8.0337417152039*x       - we divide both sides of the equation by (8.0337417152039) to get x
100/8.0337417152039=x
12.4475=x
x=12.4475

now we have:
199.16 is 12.4475% of 1600