What is 16.95 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 199.75 is 100%, so we can write it down as 199.75=100%.
4. We know, that x is 16.95% of the output value, so we can write it down as x=16.95%.
5. Now we have two simple equations:
1) 199.75=100%
2) x=16.95%
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:
199.75/x=100%/16.95%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 16.95% of 199.75

199.75/x=100/16.95
(199.75/x)*x=(100/16.95)*x       - we multiply both sides of the equation by x
199.75=5.8997050147493*x       - we divide both sides of the equation by (5.8997050147493) to get x
199.75/5.8997050147493=x
33.857625=x
x=33.857625

now we have:
16.95% of 199.75=33.857625