11.46 is what percent of 323 - 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 323 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 323, so we can write it down as 100%=323.
4. We know, that x% equals 11.46 of the output value, so we can write it down as x%=11.46.
5. Now we have two simple equations:
1) 100%=323
2) x%=11.46
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%=323/11.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.46 is what percent of 323

100%/x%=323/11.46
(100/x)*x=(323/11.46)*x       - we multiply both sides of the equation by x
100=28.184991273997*x       - we divide both sides of the equation by (28.184991273997) to get x
100/28.184991273997=x
3.5479876160991=x
x=3.5479876160991

now we have:
11.46 is 3.5479876160991% of 323