46 is what percent of 96.3 - 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 96.3 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 96.3, so we can write it down as 100%=96.3.
4. We know, that x% equals 46 of the output value, so we can write it down as x%=46.
5. Now we have two simple equations:
1) 100%=96.3
2) x%=46
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%=96.3/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46 is what percent of 96.3

100%/x%=96.3/46
(100/x)*x=(96.3/46)*x       - we multiply both sides of the equation by x
100=2.0934782608696*x       - we divide both sides of the equation by (2.0934782608696) to get x
100/2.0934782608696=x
47.767393561786=x
x=47.767393561786

now we have:
46 is 47.767393561786% of 96.3