13 is what percent of 199999 - 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 199999 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 199999, so we can write it down as 100%=199999.
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%=199999
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%=199999/13
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 199999

100%/x%=199999/13
(100/x)*x=(199999/13)*x       - we multiply both sides of the equation by x
100=15384.538461538*x       - we divide both sides of the equation by (15384.538461538) to get x
100/15384.538461538=x
0.0065000325001625=x
x=0.0065000325001625

now we have:
13 is 0.0065000325001625% of 199999