What is 60 percent of 0.46656 - 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 0.46656 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 0.46656 is 100%, so we can write it down as 0.46656=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) 0.46656=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:
0.46656/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 0.46656

0.46656/x=100/60
(0.46656/x)*x=(100/60)*x       - we multiply both sides of the equation by x
0.46656=1.6666666666667*x       - we divide both sides of the equation by (1.6666666666667) to get x
0.46656/1.6666666666667=x
0.279936=x
x=0.279936

now we have:
60% of 0.46656=0.279936