What is 7.65 percent of 1147.11 - 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 1147.11 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 1147.11 is 100%, so we can write it down as 1147.11=100%.
4. We know, that x is 7.65% of the output value, so we can write it down as x=7.65%.
5. Now we have two simple equations:
1) 1147.11=100%
2) x=7.65%
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:
1147.11/x=100%/7.65%
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 7.65% of 1147.11

1147.11/x=100/7.65
(1147.11/x)*x=(100/7.65)*x       - we multiply both sides of the equation by x
1147.11=13.071895424837*x       - we divide both sides of the equation by (13.071895424837) to get x
1147.11/13.071895424837=x
87.753915=x
x=87.753915

now we have:
7.65% of 1147.11=87.753915