250.63 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 250.63 of the output value, so we can write it down as x%=250.63.
5. Now we have two simple equations:
1) 100%=2046
2) x%=250.63
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%=2046/250.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 250.63 is what percent of 2046

100%/x%=2046/250.63
(100/x)*x=(2046/250.63)*x       - we multiply both sides of the equation by x
100=8.1634281610342*x       - we divide both sides of the equation by (8.1634281610342) to get x
100/8.1634281610342=x
12.249755620723=x
x=12.249755620723

now we have:
250.63 is 12.249755620723% of 2046