13 is what percent of 3642 - 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 3642 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 3642, so we can write it down as 100%=3642.
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%=3642
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%=3642/13
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 3642

100%/x%=3642/13
(100/x)*x=(3642/13)*x       - we multiply both sides of the equation by x
100=280.15384615385*x       - we divide both sides of the equation by (280.15384615385) to get x
100/280.15384615385=x
0.35694673256453=x
x=0.35694673256453

now we have:
13 is 0.35694673256453% of 3642