481.21 is what percent of 3494.26 - 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 3494.26 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 3494.26, so we can write it down as 100%=3494.26.
4. We know, that x% equals 481.21 of the output value, so we can write it down as x%=481.21.
5. Now we have two simple equations:
1) 100%=3494.26
2) x%=481.21
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%=3494.26/481.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 481.21 is what percent of 3494.26

100%/x%=3494.26/481.21
(100/x)*x=(3494.26/481.21)*x       - we multiply both sides of the equation by x
100=7.2614035452297*x       - we divide both sides of the equation by (7.2614035452297) to get x
100/7.2614035452297=x
13.771442308243=x
x=13.771442308243

now we have:
481.21 is 13.771442308243% of 3494.26