What is 71.6666666667 percent of 40 - 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 40 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 40 is 100%, so we can write it down as 40=100%.
4. We know, that x is 71.6666666667% of the output value, so we can write it down as x=71.6666666667%.
5. Now we have two simple equations:
1) 40=100%
2) x=71.6666666667%
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:
40/x=100%/71.6666666667%
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 71.6666666667% of 40

40/x=100/71.6666666667
(40/x)*x=(100/71.6666666667)*x       - we multiply both sides of the equation by x
40=1.3953488372087*x       - we divide both sides of the equation by (1.3953488372087) to get x
40/1.3953488372087=x
28.66666666668=x
x=28.66666666668

now we have:
71.6666666667% of 40=28.66666666668