464.33 is what percent of 2344.96 - 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 2344.96 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 2344.96, so we can write it down as 100%=2344.96.
4. We know, that x% equals 464.33 of the output value, so we can write it down as x%=464.33.
5. Now we have two simple equations:
1) 100%=2344.96
2) x%=464.33
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%=2344.96/464.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 464.33 is what percent of 2344.96

100%/x%=2344.96/464.33
(100/x)*x=(2344.96/464.33)*x       - we multiply both sides of the equation by x
100=5.0502013654082*x       - we divide both sides of the equation by (5.0502013654082) to get x
100/5.0502013654082=x
19.801190638646=x
x=19.801190638646

now we have:
464.33 is 19.801190638646% of 2344.96