309.04 is what percent of 809.21 - 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 809.21 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 809.21, so we can write it down as 100%=809.21.
4. We know, that x% equals 309.04 of the output value, so we can write it down as x%=309.04.
5. Now we have two simple equations:
1) 100%=809.21
2) x%=309.04
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%=809.21/309.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 309.04 is what percent of 809.21

100%/x%=809.21/309.04
(100/x)*x=(809.21/309.04)*x       - we multiply both sides of the equation by x
100=2.6184636293036*x       - we divide both sides of the equation by (2.6184636293036) to get x
100/2.6184636293036=x
38.190333782331=x
x=38.190333782331

now we have:
309.04 is 38.190333782331% of 809.21