What is 60 percent of 166.66666666 - 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 166.66666666 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 166.66666666 is 100%, so we can write it down as 166.66666666=100%.
4. We know, that x is 60% of the output value, so we can write it down as x=60%.
5. Now we have two simple equations:
1) 166.66666666=100%
2) x=60%
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:
166.66666666/x=100%/60%
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 60% of 166.66666666

166.66666666/x=100/60
(166.66666666/x)*x=(100/60)*x       - we multiply both sides of the equation by x
166.66666666=1.6666666666667*x       - we divide both sides of the equation by (1.6666666666667) to get x
166.66666666/1.6666666666667=x
99.999999996=x
x=99.999999996

now we have:
60% of 166.66666666=99.999999996