What is 0.6 percent of 166.4 - 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 166.4 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 166.4 is 100%, so we can write it down as 166.4=100%.
4. We know, that x is 0.6% of the output value, so we can write it down as x=0.6%.
5. Now we have two simple equations:
1) 166.4=100%
2) x=0.6%
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:
166.4/x=100%/0.6%
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 0.6% of 166.4

166.4/x=100/0.6
(166.4/x)*x=(100/0.6)*x       - we multiply both sides of the equation by x
166.4=166.66666666667*x       - we divide both sides of the equation by (166.66666666667) to get x
166.4/166.66666666667=x
0.9984=x
x=0.9984

now we have:
0.6% of 166.4=0.9984