65 is what percent of 821 - 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 821 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 821, so we can write it down as 100%=821.
4. We know, that x% equals 65 of the output value, so we can write it down as x%=65.
5. Now we have two simple equations:
1) 100%=821
2) x%=65
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%=821/65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65 is what percent of 821

100%/x%=821/65
(100/x)*x=(821/65)*x       - we multiply both sides of the equation by x
100=12.630769230769*x       - we divide both sides of the equation by (12.630769230769) to get x
100/12.630769230769=x
7.9171741778319=x
x=7.9171741778319

now we have:
65 is 7.9171741778319% of 821