What is 16666.6 percent of 21 - 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 21 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 21 is 100%, so we can write it down as 21=100%.
4. We know, that x is 16666.6% of the output value, so we can write it down as x=16666.6%.
5. Now we have two simple equations:
1) 21=100%
2) x=16666.6%
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:
21/x=100%/16666.6%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 16666.6% of 21

21/x=100/16666.6
(21/x)*x=(100/16666.6)*x       - we multiply both sides of the equation by x
21=0.006000024000096*x       - we divide both sides of the equation by (0.006000024000096) to get x
21/0.006000024000096=x
3499.986=x
x=3499.986

now we have:
16666.6% of 21=3499.986