9.73 is what percent of 209.5 - 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 209.5 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 209.5, so we can write it down as 100%=209.5.
4. We know, that x% equals 9.73 of the output value, so we can write it down as x%=9.73.
5. Now we have two simple equations:
1) 100%=209.5
2) x%=9.73
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%=209.5/9.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.73 is what percent of 209.5

100%/x%=209.5/9.73
(100/x)*x=(209.5/9.73)*x       - we multiply both sides of the equation by x
100=21.53134635149*x       - we divide both sides of the equation by (21.53134635149) to get x
100/21.53134635149=x
4.6443914081146=x
x=4.6443914081146

now we have:
9.73 is 4.6443914081146% of 209.5