What is 2.6666666666667 percent of 53 - 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 53 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 53 is 100%, so we can write it down as 53=100%.
4. We know, that x is 2.6666666666667% of the output value, so we can write it down as x=2.6666666666667%.
5. Now we have two simple equations:
1) 53=100%
2) x=2.6666666666667%
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:
53/x=100%/2.6666666666667%
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 2.6666666666667% of 53

53/x=100/2.6666666666667
(53/x)*x=(100/2.6666666666667)*x       - we multiply both sides of the equation by x
53=37.5*x       - we divide both sides of the equation by (37.5) to get x
53/37.5=x
1.4133333333334=x
x=1.4133333333334

now we have:
2.6666666666667% of 53=1.4133333333334