What is 0.66666667 percent of 711 - 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 711 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 711 is 100%, so we can write it down as 711=100%.
4. We know, that x is 0.66666667% of the output value, so we can write it down as x=0.66666667%.
5. Now we have two simple equations:
1) 711=100%
2) x=0.66666667%
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:
711/x=100%/0.66666667%
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 0.66666667% of 711

711/x=100/0.66666667
(711/x)*x=(100/0.66666667)*x       - we multiply both sides of the equation by x
711=149.99999925*x       - we divide both sides of the equation by (149.99999925) to get x
711/149.99999925=x
4.7400000237=x
x=4.7400000237

now we have:
0.66666667% of 711=4.7400000237