65.38 is what percent of 97.44 - 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 97.44 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 97.44, so we can write it down as 100%=97.44.
4. We know, that x% equals 65.38 of the output value, so we can write it down as x%=65.38.
5. Now we have two simple equations:
1) 100%=97.44
2) x%=65.38
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%=97.44/65.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.38 is what percent of 97.44

100%/x%=97.44/65.38
(100/x)*x=(97.44/65.38)*x       - we multiply both sides of the equation by x
100=1.4903640256959*x       - we divide both sides of the equation by (1.4903640256959) to get x
100/1.4903640256959=x
67.097701149425=x
x=67.097701149425

now we have:
65.38 is 67.097701149425% of 97.44