7 is what percent of 20546 - 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 20546 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 20546, so we can write it down as 100%=20546.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=20546
2) x%=7
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%=20546/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 20546

100%/x%=20546/7
(100/x)*x=(20546/7)*x       - we multiply both sides of the equation by x
100=2935.1428571429*x       - we divide both sides of the equation by (2935.1428571429) to get x
100/2935.1428571429=x
0.034069891949771=x
x=0.034069891949771

now we have:
7 is 0.034069891949771% of 20546