13 is what percent of 19.21 - 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 19.21 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 19.21, so we can write it down as 100%=19.21.
4. We know, that x% equals 13 of the output value, so we can write it down as x%=13.
5. Now we have two simple equations:
1) 100%=19.21
2) x%=13
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%=19.21/13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13 is what percent of 19.21

100%/x%=19.21/13
(100/x)*x=(19.21/13)*x       - we multiply both sides of the equation by x
100=1.4776923076923*x       - we divide both sides of the equation by (1.4776923076923) to get x
100/1.4776923076923=x
67.673086933889=x
x=67.673086933889

now we have:
13 is 67.673086933889% of 19.21