469.4 is what percent of 2252.42 - 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 2252.42 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 2252.42, so we can write it down as 100%=2252.42.
4. We know, that x% equals 469.4 of the output value, so we can write it down as x%=469.4.
5. Now we have two simple equations:
1) 100%=2252.42
2) x%=469.4
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%=2252.42/469.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 469.4 is what percent of 2252.42

100%/x%=2252.42/469.4
(100/x)*x=(2252.42/469.4)*x       - we multiply both sides of the equation by x
100=4.7985087345548*x       - we divide both sides of the equation by (4.7985087345548) to get x
100/4.7985087345548=x
20.839807851111=x
x=20.839807851111

now we have:
469.4 is 20.839807851111% of 2252.42