What is 0.1666666 percent of 76.5 - 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 76.5 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 76.5 is 100%, so we can write it down as 76.5=100%.
4. We know, that x is 0.1666666% of the output value, so we can write it down as x=0.1666666%.
5. Now we have two simple equations:
1) 76.5=100%
2) x=0.1666666%
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:
76.5/x=100%/0.1666666%
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 0.1666666% of 76.5

76.5/x=100/0.1666666
(76.5/x)*x=(100/0.1666666)*x       - we multiply both sides of the equation by x
76.5=600.0002400001*x       - we divide both sides of the equation by (600.0002400001) to get x
76.5/600.0002400001=x
0.127499949=x
x=0.127499949

now we have:
0.1666666% of 76.5=0.127499949