80 is what percent of 21539 - 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 21539 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 21539, so we can write it down as 100%=21539.
4. We know, that x% equals 80 of the output value, so we can write it down as x%=80.
5. Now we have two simple equations:
1) 100%=21539
2) x%=80
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%=21539/80
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80 is what percent of 21539

100%/x%=21539/80
(100/x)*x=(21539/80)*x       - we multiply both sides of the equation by x
100=269.2375*x       - we divide both sides of the equation by (269.2375) to get x
100/269.2375=x
0.37141928594642=x
x=0.37141928594642

now we have:
80 is 0.37141928594642% of 21539