6.9 is what percent of 96 - 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 96 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 96, so we can write it down as 100%=96.
4. We know, that x% equals 6.9 of the output value, so we can write it down as x%=6.9.
5. Now we have two simple equations:
1) 100%=96
2) x%=6.9
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%=96/6.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.9 is what percent of 96

100%/x%=96/6.9
(100/x)*x=(96/6.9)*x       - we multiply both sides of the equation by x
100=13.913043478261*x       - we divide both sides of the equation by (13.913043478261) to get x
100/13.913043478261=x
7.1875=x
x=7.1875

now we have:
6.9 is 7.1875% of 96