What is 6.4 percent of 166000 - 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 166000 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 166000 is 100%, so we can write it down as 166000=100%.
4. We know, that x is 6.4% of the output value, so we can write it down as x=6.4%.
5. Now we have two simple equations:
1) 166000=100%
2) x=6.4%
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:
166000/x=100%/6.4%
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 6.4% of 166000

166000/x=100/6.4
(166000/x)*x=(100/6.4)*x       - we multiply both sides of the equation by x
166000=15.625*x       - we divide both sides of the equation by (15.625) to get x
166000/15.625=x
10624=x
x=10624

now we have:
6.4% of 166000=10624