8.21 is what percent of 8205 - 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 8205 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 8205, so we can write it down as 100%=8205.
4. We know, that x% equals 8.21 of the output value, so we can write it down as x%=8.21.
5. Now we have two simple equations:
1) 100%=8205
2) x%=8.21
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%=8205/8.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.21 is what percent of 8205

100%/x%=8205/8.21
(100/x)*x=(8205/8.21)*x       - we multiply both sides of the equation by x
100=999.39098660171*x       - we divide both sides of the equation by (999.39098660171) to get x
100/999.39098660171=x
0.10006093845216=x
x=0.10006093845216

now we have:
8.21 is 0.10006093845216% of 8205