What is 5.333 percent of 1333.333 - 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 1333.333 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 1333.333 is 100%, so we can write it down as 1333.333=100%.
4. We know, that x is 5.333% of the output value, so we can write it down as x=5.333%.
5. Now we have two simple equations:
1) 1333.333=100%
2) x=5.333%
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:
1333.333/x=100%/5.333%
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 5.333% of 1333.333

1333.333/x=100/5.333
(1333.333/x)*x=(100/5.333)*x       - we multiply both sides of the equation by x
1333.333=18.751171948247*x       - we divide both sides of the equation by (18.751171948247) to get x
1333.333/18.751171948247=x
71.10664889=x
x=71.10664889

now we have:
5.333% of 1333.333=71.10664889