What is 6 percent of 161009 - 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 161009 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 161009 is 100%, so we can write it down as 161009=100%.
4. We know, that x is 6% of the output value, so we can write it down as x=6%.
5. Now we have two simple equations:
1) 161009=100%
2) x=6%
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:
161009/x=100%/6%
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% of 161009

161009/x=100/6
(161009/x)*x=(100/6)*x       - we multiply both sides of the equation by x
161009=16.666666666667*x       - we divide both sides of the equation by (16.666666666667) to get x
161009/16.666666666667=x
9660.54=x
x=9660.54

now we have:
6% of 161009=9660.54