23.25 is what percent of 309.4 - 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 309.4 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 309.4, so we can write it down as 100%=309.4.
4. We know, that x% equals 23.25 of the output value, so we can write it down as x%=23.25.
5. Now we have two simple equations:
1) 100%=309.4
2) x%=23.25
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%=309.4/23.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.25 is what percent of 309.4

100%/x%=309.4/23.25
(100/x)*x=(309.4/23.25)*x       - we multiply both sides of the equation by x
100=13.30752688172*x       - we divide both sides of the equation by (13.30752688172) to get x
100/13.30752688172=x
7.5145442792502=x
x=7.5145442792502

now we have:
23.25 is 7.5145442792502% of 309.4