65.24 is what percent of 8.3 - 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 8.3 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 8.3, so we can write it down as 100%=8.3.
4. We know, that x% equals 65.24 of the output value, so we can write it down as x%=65.24.
5. Now we have two simple equations:
1) 100%=8.3
2) x%=65.24
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%=8.3/65.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.24 is what percent of 8.3

100%/x%=8.3/65.24
(100/x)*x=(8.3/65.24)*x       - we multiply both sides of the equation by x
100=0.12722256284488*x       - we divide both sides of the equation by (0.12722256284488) to get x
100/0.12722256284488=x
786.02409638554=x
x=786.02409638554

now we have:
65.24 is 786.02409638554% of 8.3