8 is what percent of 21538 - 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 21538 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 21538, so we can write it down as 100%=21538.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=21538
2) x%=8
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%=21538/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 21538

100%/x%=21538/8
(100/x)*x=(21538/8)*x       - we multiply both sides of the equation by x
100=2692.25*x       - we divide both sides of the equation by (2692.25) to get x
100/2692.25=x
0.03714365307828=x
x=0.03714365307828

now we have:
8 is 0.03714365307828% of 21538