230.46 is what percent of 796.32 - 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 796.32 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 796.32, so we can write it down as 100%=796.32.
4. We know, that x% equals 230.46 of the output value, so we can write it down as x%=230.46.
5. Now we have two simple equations:
1) 100%=796.32
2) x%=230.46
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%=796.32/230.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230.46 is what percent of 796.32

100%/x%=796.32/230.46
(100/x)*x=(796.32/230.46)*x       - we multiply both sides of the equation by x
100=3.4553501692268*x       - we divide both sides of the equation by (3.4553501692268) to get x
100/3.4553501692268=x
28.940626883665=x
x=28.940626883665

now we have:
230.46 is 28.940626883665% of 796.32