What is 8.83 percent of 75.33 - 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 75.33 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 75.33 is 100%, so we can write it down as 75.33=100%.
4. We know, that x is 8.83% of the output value, so we can write it down as x=8.83%.
5. Now we have two simple equations:
1) 75.33=100%
2) x=8.83%
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:
75.33/x=100%/8.83%
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 8.83% of 75.33

75.33/x=100/8.83
(75.33/x)*x=(100/8.83)*x       - we multiply both sides of the equation by x
75.33=11.3250283126*x       - we divide both sides of the equation by (11.3250283126) to get x
75.33/11.3250283126=x
6.651639=x
x=6.651639

now we have:
8.83% of 75.33=6.651639