13 is what percent of 16.257 - 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 16.257 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 16.257, so we can write it down as 100%=16.257.
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%=16.257
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%=16.257/13
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 16.257

100%/x%=16.257/13
(100/x)*x=(16.257/13)*x       - we multiply both sides of the equation by x
100=1.2505384615385*x       - we divide both sides of the equation by (1.2505384615385) to get x
100/1.2505384615385=x
79.965553300117=x
x=79.965553300117

now we have:
13 is 79.965553300117% of 16.257