What is 1.6666666666667 percent of 4.75 - 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 4.75 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 4.75 is 100%, so we can write it down as 4.75=100%.
4. We know, that x is 1.6666666666667% of the output value, so we can write it down as x=1.6666666666667%.
5. Now we have two simple equations:
1) 4.75=100%
2) x=1.6666666666667%
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:
4.75/x=100%/1.6666666666667%
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 1.6666666666667% of 4.75

4.75/x=100/1.6666666666667
(4.75/x)*x=(100/1.6666666666667)*x       - we multiply both sides of the equation by x
4.75=60*x       - we divide both sides of the equation by (60) to get x
4.75/60=x
0.079166666666667=x
x=0.079166666666667

now we have:
1.6666666666667% of 4.75=0.079166666666667