503.48 is what percent of 2046 - 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 2046 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 2046, so we can write it down as 100%=2046.
4. We know, that x% equals 503.48 of the output value, so we can write it down as x%=503.48.
5. Now we have two simple equations:
1) 100%=2046
2) x%=503.48
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%=2046/503.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 503.48 is what percent of 2046

100%/x%=2046/503.48
(100/x)*x=(2046/503.48)*x       - we multiply both sides of the equation by x
100=4.0637165329308*x       - we divide both sides of the equation by (4.0637165329308) to get x
100/4.0637165329308=x
24.608015640274=x
x=24.608015640274

now we have:
503.48 is 24.608015640274% of 2046