19 is what percent of 409 - 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 409 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 409, so we can write it down as 100%=409.
4. We know, that x% equals 19 of the output value, so we can write it down as x%=19.
5. Now we have two simple equations:
1) 100%=409
2) x%=19
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%=409/19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19 is what percent of 409

100%/x%=409/19
(100/x)*x=(409/19)*x       - we multiply both sides of the equation by x
100=21.526315789474*x       - we divide both sides of the equation by (21.526315789474) to get x
100/21.526315789474=x
4.6454767726161=x
x=4.6454767726161

now we have:
19 is 4.6454767726161% of 409