9016 is what percent of 10920 - 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 10920 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 10920, so we can write it down as 100%=10920.
4. We know, that x% equals 9016 of the output value, so we can write it down as x%=9016.
5. Now we have two simple equations:
1) 100%=10920
2) x%=9016
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%=10920/9016
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9016 is what percent of 10920

100%/x%=10920/9016
(100/x)*x=(10920/9016)*x       - we multiply both sides of the equation by x
100=1.2111801242236*x       - we divide both sides of the equation by (1.2111801242236) to get x
100/1.2111801242236=x
82.564102564103=x
x=82.564102564103

now we have:
9016 is 82.564102564103% of 10920