62 is what percent of 13198 - 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 13198 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 13198, so we can write it down as 100%=13198.
4. We know, that x% equals 62 of the output value, so we can write it down as x%=62.
5. Now we have two simple equations:
1) 100%=13198
2) x%=62
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%=13198/62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62 is what percent of 13198

100%/x%=13198/62
(100/x)*x=(13198/62)*x       - we multiply both sides of the equation by x
100=212.87096774194*x       - we divide both sides of the equation by (212.87096774194) to get x
100/212.87096774194=x
0.46976814668889=x
x=0.46976814668889

now we have:
62 is 0.46976814668889% of 13198