467.69 is what percent of 485.69 - 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 485.69 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 485.69, so we can write it down as 100%=485.69.
4. We know, that x% equals 467.69 of the output value, so we can write it down as x%=467.69.
5. Now we have two simple equations:
1) 100%=485.69
2) x%=467.69
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%=485.69/467.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 467.69 is what percent of 485.69

100%/x%=485.69/467.69
(100/x)*x=(485.69/467.69)*x       - we multiply both sides of the equation by x
100=1.0384870320084*x       - we divide both sides of the equation by (1.0384870320084) to get x
100/1.0384870320084=x
96.293932343676=x
x=96.293932343676

now we have:
467.69 is 96.293932343676% of 485.69