13.65 is what percent of 642.36 - 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 642.36 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 642.36, so we can write it down as 100%=642.36.
4. We know, that x% equals 13.65 of the output value, so we can write it down as x%=13.65.
5. Now we have two simple equations:
1) 100%=642.36
2) x%=13.65
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%=642.36/13.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.65 is what percent of 642.36

100%/x%=642.36/13.65
(100/x)*x=(642.36/13.65)*x       - we multiply both sides of the equation by x
100=47.059340659341*x       - we divide both sides of the equation by (47.059340659341) to get x
100/47.059340659341=x
2.1249766486083=x
x=2.1249766486083

now we have:
13.65 is 2.1249766486083% of 642.36