13333 is what percent of 106302 - 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 106302 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 106302, so we can write it down as 100%=106302.
4. We know, that x% equals 13333 of the output value, so we can write it down as x%=13333.
5. Now we have two simple equations:
1) 100%=106302
2) x%=13333
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%=106302/13333
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13333 is what percent of 106302

100%/x%=106302/13333
(100/x)*x=(106302/13333)*x       - we multiply both sides of the equation by x
100=7.972849321233*x       - we divide both sides of the equation by (7.972849321233) to get x
100/7.972849321233=x
12.542567402307=x
x=12.542567402307

now we have:
13333 is 12.542567402307% of 106302