65.5 is what percent of 69.6 - 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 69.6 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 69.6, so we can write it down as 100%=69.6.
4. We know, that x% equals 65.5 of the output value, so we can write it down as x%=65.5.
5. Now we have two simple equations:
1) 100%=69.6
2) x%=65.5
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%=69.6/65.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.5 is what percent of 69.6

100%/x%=69.6/65.5
(100/x)*x=(69.6/65.5)*x       - we multiply both sides of the equation by x
100=1.0625954198473*x       - we divide both sides of the equation by (1.0625954198473) to get x
100/1.0625954198473=x
94.109195402299=x
x=94.109195402299

now we have:
65.5 is 94.109195402299% of 69.6