21.86 is what percent of 489.99 - 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 489.99 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 489.99, so we can write it down as 100%=489.99.
4. We know, that x% equals 21.86 of the output value, so we can write it down as x%=21.86.
5. Now we have two simple equations:
1) 100%=489.99
2) x%=21.86
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%=489.99/21.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.86 is what percent of 489.99

100%/x%=489.99/21.86
(100/x)*x=(489.99/21.86)*x       - we multiply both sides of the equation by x
100=22.414913083257*x       - we divide both sides of the equation by (22.414913083257) to get x
100/22.414913083257=x
4.4613155370518=x
x=4.4613155370518

now we have:
21.86 is 4.4613155370518% of 489.99