65.35 is what percent of 103.14 - 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 103.14 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 103.14, so we can write it down as 100%=103.14.
4. We know, that x% equals 65.35 of the output value, so we can write it down as x%=65.35.
5. Now we have two simple equations:
1) 100%=103.14
2) x%=65.35
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%=103.14/65.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.35 is what percent of 103.14

100%/x%=103.14/65.35
(100/x)*x=(103.14/65.35)*x       - we multiply both sides of the equation by x
100=1.5782708492731*x       - we divide both sides of the equation by (1.5782708492731) to get x
100/1.5782708492731=x
63.360480899748=x
x=63.360480899748

now we have:
65.35 is 63.360480899748% of 103.14