481.69 is what percent of 502.31 - 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 502.31 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 502.31, so we can write it down as 100%=502.31.
4. We know, that x% equals 481.69 of the output value, so we can write it down as x%=481.69.
5. Now we have two simple equations:
1) 100%=502.31
2) x%=481.69
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%=502.31/481.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 481.69 is what percent of 502.31

100%/x%=502.31/481.69
(100/x)*x=(502.31/481.69)*x       - we multiply both sides of the equation by x
100=1.042807614856*x       - we divide both sides of the equation by (1.042807614856) to get x
100/1.042807614856=x
95.894965260497=x
x=95.894965260497

now we have:
481.69 is 95.894965260497% of 502.31