What is 6.25 percent of 166 - 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 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 is 100%, so we can write it down as 166=100%.
4. We know, that x is 6.25% of the output value, so we can write it down as x=6.25%.
5. Now we have two simple equations:
1) 166=100%
2) x=6.25%
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/x=100%/6.25%
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 6.25% of 166

166/x=100/6.25
(166/x)*x=(100/6.25)*x       - we multiply both sides of the equation by x
166=16*x       - we divide both sides of the equation by (16) to get x
166/16=x
10.375=x
x=10.375

now we have:
6.25% of 166=10.375