What is 7.7 percent of 11600 - 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 11600 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 11600 is 100%, so we can write it down as 11600=100%.
4. We know, that x is 7.7% of the output value, so we can write it down as x=7.7%.
5. Now we have two simple equations:
1) 11600=100%
2) x=7.7%
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:
11600/x=100%/7.7%
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 7.7% of 11600

11600/x=100/7.7
(11600/x)*x=(100/7.7)*x       - we multiply both sides of the equation by x
11600=12.987012987*x       - we divide both sides of the equation by (12.987012987) to get x
11600/12.987012987=x
893.2=x
x=893.2

now we have:
7.7% of 11600=893.2