53.18 is what percent of 64.78 - 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 64.78 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 64.78, so we can write it down as 100%=64.78.
4. We know, that x% equals 53.18 of the output value, so we can write it down as x%=53.18.
5. Now we have two simple equations:
1) 100%=64.78
2) x%=53.18
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%=64.78/53.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.18 is what percent of 64.78

100%/x%=64.78/53.18
(100/x)*x=(64.78/53.18)*x       - we multiply both sides of the equation by x
100=1.2181271154569*x       - we divide both sides of the equation by (1.2181271154569) to get x
100/1.2181271154569=x
82.093238653906=x
x=82.093238653906

now we have:
53.18 is 82.093238653906% of 64.78