13 is what percent of 19000 - 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 19000 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 19000, so we can write it down as 100%=19000.
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%=19000
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%=19000/13
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 19000

100%/x%=19000/13
(100/x)*x=(19000/13)*x       - we multiply both sides of the equation by x
100=1461.5384615385*x       - we divide both sides of the equation by (1461.5384615385) to get x
100/1461.5384615385=x
0.068421052631579=x
x=0.068421052631579

now we have:
13 is 0.068421052631579% of 19000