What is 16.75 percent of 52 - 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 52 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 52 is 100%, so we can write it down as 52=100%.
4. We know, that x is 16.75% of the output value, so we can write it down as x=16.75%.
5. Now we have two simple equations:
1) 52=100%
2) x=16.75%
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:
52/x=100%/16.75%
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 16.75% of 52

52/x=100/16.75
(52/x)*x=(100/16.75)*x       - we multiply both sides of the equation by x
52=5.9701492537313*x       - we divide both sides of the equation by (5.9701492537313) to get x
52/5.9701492537313=x
8.71=x
x=8.71

now we have:
16.75% of 52=8.71