199.67 is what percent of 1165.49 - 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 1165.49 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 1165.49, so we can write it down as 100%=1165.49.
4. We know, that x% equals 199.67 of the output value, so we can write it down as x%=199.67.
5. Now we have two simple equations:
1) 100%=1165.49
2) x%=199.67
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%=1165.49/199.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.67 is what percent of 1165.49

100%/x%=1165.49/199.67
(100/x)*x=(1165.49/199.67)*x       - we multiply both sides of the equation by x
100=5.8370811839535*x       - we divide both sides of the equation by (5.8370811839535) to get x
100/5.8370811839535=x
17.131850123124=x
x=17.131850123124

now we have:
199.67 is 17.131850123124% of 1165.49