What is 22.666666666667 percent of 320 - 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 320 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 320 is 100%, so we can write it down as 320=100%.
4. We know, that x is 22.666666666667% of the output value, so we can write it down as x=22.666666666667%.
5. Now we have two simple equations:
1) 320=100%
2) x=22.666666666667%
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:
320/x=100%/22.666666666667%
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 22.666666666667% of 320

320/x=100/22.666666666667
(320/x)*x=(100/22.666666666667)*x       - we multiply both sides of the equation by x
320=4.4117647058824*x       - we divide both sides of the equation by (4.4117647058824) to get x
320/4.4117647058824=x
72.533333333333=x
x=72.533333333333

now we have:
22.666666666667% of 320=72.533333333333