65.2 is what percent of 68.2 - 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 68.2 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 68.2, so we can write it down as 100%=68.2.
4. We know, that x% equals 65.2 of the output value, so we can write it down as x%=65.2.
5. Now we have two simple equations:
1) 100%=68.2
2) x%=65.2
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%=68.2/65.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.2 is what percent of 68.2

100%/x%=68.2/65.2
(100/x)*x=(68.2/65.2)*x       - we multiply both sides of the equation by x
100=1.0460122699387*x       - we divide both sides of the equation by (1.0460122699387) to get x
100/1.0460122699387=x
95.601173020528=x
x=95.601173020528

now we have:
65.2 is 95.601173020528% of 68.2