What is 133.3 percent of 7.5 - 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 7.5 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 7.5 is 100%, so we can write it down as 7.5=100%.
4. We know, that x is 133.3% of the output value, so we can write it down as x=133.3%.
5. Now we have two simple equations:
1) 7.5=100%
2) x=133.3%
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:
7.5/x=100%/133.3%
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 133.3% of 7.5

7.5/x=100/133.3
(7.5/x)*x=(100/133.3)*x       - we multiply both sides of the equation by x
7.5=0.75018754688672*x       - we divide both sides of the equation by (0.75018754688672) to get x
7.5/0.75018754688672=x
9.9975=x
x=9.9975

now we have:
133.3% of 7.5=9.9975