What is 66.66666666667 percent of 7 - 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 7 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 7 is 100%, so we can write it down as 7=100%.
4. We know, that x is 66.66666666667% of the output value, so we can write it down as x=66.66666666667%.
5. Now we have two simple equations:
1) 7=100%
2) x=66.66666666667%
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:
7/x=100%/66.66666666667%
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 66.66666666667% of 7

7/x=100/66.66666666667
(7/x)*x=(100/66.66666666667)*x       - we multiply both sides of the equation by x
7=1.4999999999999*x       - we divide both sides of the equation by (1.4999999999999) to get x
7/1.4999999999999=x
4.6666666666669=x
x=4.6666666666669

now we have:
66.66666666667% of 7=4.6666666666669