What is 11.1 percent of 65.78 - 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 65.78 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 65.78 is 100%, so we can write it down as 65.78=100%.
4. We know, that x is 11.1% of the output value, so we can write it down as x=11.1%.
5. Now we have two simple equations:
1) 65.78=100%
2) x=11.1%
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:
65.78/x=100%/11.1%
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 11.1% of 65.78

65.78/x=100/11.1
(65.78/x)*x=(100/11.1)*x       - we multiply both sides of the equation by x
65.78=9.009009009009*x       - we divide both sides of the equation by (9.009009009009) to get x
65.78/9.009009009009=x
7.30158=x
x=7.30158

now we have:
11.1% of 65.78=7.30158