12.99 is what percent of 284.05 - 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 284.05 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 284.05, so we can write it down as 100%=284.05.
4. We know, that x% equals 12.99 of the output value, so we can write it down as x%=12.99.
5. Now we have two simple equations:
1) 100%=284.05
2) x%=12.99
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%=284.05/12.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.99 is what percent of 284.05

100%/x%=284.05/12.99
(100/x)*x=(284.05/12.99)*x       - we multiply both sides of the equation by x
100=21.866820631255*x       - we divide both sides of the equation by (21.866820631255) to get x
100/21.866820631255=x
4.5731385319486=x
x=4.5731385319486

now we have:
12.99 is 4.5731385319486% of 284.05