13 is what percent of 8370 - 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 8370 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 8370, so we can write it down as 100%=8370.
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%=8370
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%=8370/13
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 8370

100%/x%=8370/13
(100/x)*x=(8370/13)*x       - we multiply both sides of the equation by x
100=643.84615384615*x       - we divide both sides of the equation by (643.84615384615) to get x
100/643.84615384615=x
0.15531660692951=x
x=0.15531660692951

now we have:
13 is 0.15531660692951% of 8370