464.42 is what percent of 466.02 - 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 466.02 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 466.02, so we can write it down as 100%=466.02.
4. We know, that x% equals 464.42 of the output value, so we can write it down as x%=464.42.
5. Now we have two simple equations:
1) 100%=466.02
2) x%=464.42
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%=466.02/464.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 464.42 is what percent of 466.02

100%/x%=466.02/464.42
(100/x)*x=(466.02/464.42)*x       - we multiply both sides of the equation by x
100=1.0034451574006*x       - we divide both sides of the equation by (1.0034451574006) to get x
100/1.0034451574006=x
99.656667095833=x
x=99.656667095833

now we have:
464.42 is 99.656667095833% of 466.02