What is 6.3 percent of 166.92 - 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 166.92 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 166.92 is 100%, so we can write it down as 166.92=100%.
4. We know, that x is 6.3% of the output value, so we can write it down as x=6.3%.
5. Now we have two simple equations:
1) 166.92=100%
2) x=6.3%
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:
166.92/x=100%/6.3%
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 6.3% of 166.92

166.92/x=100/6.3
(166.92/x)*x=(100/6.3)*x       - we multiply both sides of the equation by x
166.92=15.873015873016*x       - we divide both sides of the equation by (15.873015873016) to get x
166.92/15.873015873016=x
10.51596=x
x=10.51596

now we have:
6.3% of 166.92=10.51596