What is 9.258 percent of 83.33 - 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 83.33 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 83.33 is 100%, so we can write it down as 83.33=100%.
4. We know, that x is 9.258% of the output value, so we can write it down as x=9.258%.
5. Now we have two simple equations:
1) 83.33=100%
2) x=9.258%
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:
83.33/x=100%/9.258%
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 9.258% of 83.33

83.33/x=100/9.258
(83.33/x)*x=(100/9.258)*x       - we multiply both sides of the equation by x
83.33=10.801468999784*x       - we divide both sides of the equation by (10.801468999784) to get x
83.33/10.801468999784=x
7.7146914=x
x=7.7146914

now we have:
9.258% of 83.33=7.7146914