82.23 is what percent of 737.23 - 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 737.23 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 737.23, so we can write it down as 100%=737.23.
4. We know, that x% equals 82.23 of the output value, so we can write it down as x%=82.23.
5. Now we have two simple equations:
1) 100%=737.23
2) x%=82.23
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%=737.23/82.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.23 is what percent of 737.23

100%/x%=737.23/82.23
(100/x)*x=(737.23/82.23)*x       - we multiply both sides of the equation by x
100=8.9654627264988*x       - we divide both sides of the equation by (8.9654627264988) to get x
100/8.9654627264988=x
11.153913975286=x
x=11.153913975286

now we have:
82.23 is 11.153913975286% of 737.23