469.5 is what percent of 2240 - 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 2240 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 2240, so we can write it down as 100%=2240.
4. We know, that x% equals 469.5 of the output value, so we can write it down as x%=469.5.
5. Now we have two simple equations:
1) 100%=2240
2) x%=469.5
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%=2240/469.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 469.5 is what percent of 2240

100%/x%=2240/469.5
(100/x)*x=(2240/469.5)*x       - we multiply both sides of the equation by x
100=4.7710330138445*x       - we divide both sides of the equation by (4.7710330138445) to get x
100/4.7710330138445=x
20.959821428571=x
x=20.959821428571

now we have:
469.5 is 20.959821428571% of 2240