6.65 is what percent of 78.88 - 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 78.88 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 100% equals 78.88, so we can write it down as 100%=78.88.
4. We know, that x% equals 6.65 of the output value, so we can write it down as x%=6.65.
5. Now we have two simple equations:
1) 100%=78.88
2) x%=6.65
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:
100%/x%=78.88/6.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.65 is what percent of 78.88

100%/x%=78.88/6.65
(100/x)*x=(78.88/6.65)*x       - we multiply both sides of the equation by x
100=11.861654135338*x       - we divide both sides of the equation by (11.861654135338) to get x
100/11.861654135338=x
8.4305273833671=x
x=8.4305273833671

now we have:
6.65 is 8.4305273833671% of 78.88