21.3 is what percent of 8760 - 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 8760 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 8760, so we can write it down as 100%=8760.
4. We know, that x% equals 21.3 of the output value, so we can write it down as x%=21.3.
5. Now we have two simple equations:
1) 100%=8760
2) x%=21.3
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%=8760/21.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.3 is what percent of 8760

100%/x%=8760/21.3
(100/x)*x=(8760/21.3)*x       - we multiply both sides of the equation by x
100=411.2676056338*x       - we divide both sides of the equation by (411.2676056338) to get x
100/411.2676056338=x
0.24315068493151=x
x=0.24315068493151

now we have:
21.3 is 0.24315068493151% of 8760