53.85 is what percent of 65 - 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 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 65, so we can write it down as 100%=65.
4. We know, that x% equals 53.85 of the output value, so we can write it down as x%=53.85.
5. Now we have two simple equations:
1) 100%=65
2) x%=53.85
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%=65/53.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.85 is what percent of 65

100%/x%=65/53.85
(100/x)*x=(65/53.85)*x       - we multiply both sides of the equation by x
100=1.2070566388115*x       - we divide both sides of the equation by (1.2070566388115) to get x
100/1.2070566388115=x
82.846153846154=x
x=82.846153846154

now we have:
53.85 is 82.846153846154% of 65