486.88 is what percent of 12816 - 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 12816 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 12816, so we can write it down as 100%=12816.
4. We know, that x% equals 486.88 of the output value, so we can write it down as x%=486.88.
5. Now we have two simple equations:
1) 100%=12816
2) x%=486.88
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%=12816/486.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 486.88 is what percent of 12816

100%/x%=12816/486.88
(100/x)*x=(12816/486.88)*x       - we multiply both sides of the equation by x
100=26.322707854091*x       - we divide both sides of the equation by (26.322707854091) to get x
100/26.322707854091=x
3.7990012484395=x
x=3.7990012484395

now we have:
486.88 is 3.7990012484395% of 12816