36.92 is what percent of 199.75 - 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 199.75 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 199.75, so we can write it down as 100%=199.75.
4. We know, that x% equals 36.92 of the output value, so we can write it down as x%=36.92.
5. Now we have two simple equations:
1) 100%=199.75
2) x%=36.92
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%=199.75/36.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.92 is what percent of 199.75

100%/x%=199.75/36.92
(100/x)*x=(199.75/36.92)*x       - we multiply both sides of the equation by x
100=5.410346695558*x       - we divide both sides of the equation by (5.410346695558) to get x
100/5.410346695558=x
18.48310387985=x
x=18.48310387985

now we have:
36.92 is 18.48310387985% of 199.75