463.25 is what percent of 884.7 - 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 884.7 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 884.7, so we can write it down as 100%=884.7.
4. We know, that x% equals 463.25 of the output value, so we can write it down as x%=463.25.
5. Now we have two simple equations:
1) 100%=884.7
2) x%=463.25
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%=884.7/463.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 463.25 is what percent of 884.7

100%/x%=884.7/463.25
(100/x)*x=(884.7/463.25)*x       - we multiply both sides of the equation by x
100=1.9097679438748*x       - we divide both sides of the equation by (1.9097679438748) to get x
100/1.9097679438748=x
52.362382728609=x
x=52.362382728609

now we have:
463.25 is 52.362382728609% of 884.7