46.91 is what percent of 65.15 - 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 65.15 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 65.15, so we can write it down as 100%=65.15.
4. We know, that x% equals 46.91 of the output value, so we can write it down as x%=46.91.
5. Now we have two simple equations:
1) 100%=65.15
2) x%=46.91
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%=65.15/46.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.91 is what percent of 65.15

100%/x%=65.15/46.91
(100/x)*x=(65.15/46.91)*x       - we multiply both sides of the equation by x
100=1.3888296738435*x       - we divide both sides of the equation by (1.3888296738435) to get x
100/1.3888296738435=x
72.003069838833=x
x=72.003069838833

now we have:
46.91 is 72.003069838833% of 65.15