46.48 is what percent of 64.9 - 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 64.9 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 64.9, so we can write it down as 100%=64.9.
4. We know, that x% equals 46.48 of the output value, so we can write it down as x%=46.48.
5. Now we have two simple equations:
1) 100%=64.9
2) x%=46.48
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%=64.9/46.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.48 is what percent of 64.9

100%/x%=64.9/46.48
(100/x)*x=(64.9/46.48)*x       - we multiply both sides of the equation by x
100=1.3962994836489*x       - we divide both sides of the equation by (1.3962994836489) to get x
100/1.3962994836489=x
71.617873651772=x
x=71.617873651772

now we have:
46.48 is 71.617873651772% of 64.9