820 is what percent of 9 - 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 9 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 9, so we can write it down as 100%=9.
4. We know, that x% equals 820 of the output value, so we can write it down as x%=820.
5. Now we have two simple equations:
1) 100%=9
2) x%=820
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%=9/820
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 820 is what percent of 9

100%/x%=9/820
(100/x)*x=(9/820)*x       - we multiply both sides of the equation by x
100=0.010975609756098*x       - we divide both sides of the equation by (0.010975609756098) to get x
100/0.010975609756098=x
9111.1111111111=x
x=9111.1111111111

now we have:
820 is 9111.1111111111% of 9