199.35 is what percent of 1731.35 - 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 1731.35 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 1731.35, so we can write it down as 100%=1731.35.
4. We know, that x% equals 199.35 of the output value, so we can write it down as x%=199.35.
5. Now we have two simple equations:
1) 100%=1731.35
2) x%=199.35
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%=1731.35/199.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.35 is what percent of 1731.35

100%/x%=1731.35/199.35
(100/x)*x=(1731.35/199.35)*x       - we multiply both sides of the equation by x
100=8.6849761725608*x       - we divide both sides of the equation by (8.6849761725608) to get x
100/8.6849761725608=x
11.514136367574=x
x=11.514136367574

now we have:
199.35 is 11.514136367574% of 1731.35