309.93 is what percent of 445.73 - 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 445.73 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 445.73, so we can write it down as 100%=445.73.
4. We know, that x% equals 309.93 of the output value, so we can write it down as x%=309.93.
5. Now we have two simple equations:
1) 100%=445.73
2) x%=309.93
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%=445.73/309.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 309.93 is what percent of 445.73

100%/x%=445.73/309.93
(100/x)*x=(445.73/309.93)*x       - we multiply both sides of the equation by x
100=1.4381634562643*x       - we divide both sides of the equation by (1.4381634562643) to get x
100/1.4381634562643=x
69.53312543468=x
x=69.53312543468

now we have:
309.93 is 69.53312543468% of 445.73