What is 9.75 percent of 166.77 - 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 166.77 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 166.77 is 100%, so we can write it down as 166.77=100%.
4. We know, that x is 9.75% of the output value, so we can write it down as x=9.75%.
5. Now we have two simple equations:
1) 166.77=100%
2) x=9.75%
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:
166.77/x=100%/9.75%
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 9.75% of 166.77

166.77/x=100/9.75
(166.77/x)*x=(100/9.75)*x       - we multiply both sides of the equation by x
166.77=10.25641025641*x       - we divide both sides of the equation by (10.25641025641) to get x
166.77/10.25641025641=x
16.260075=x
x=16.260075

now we have:
9.75% of 166.77=16.260075