511.04 is what percent of 1099 - 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 1099 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 1099, so we can write it down as 100%=1099.
4. We know, that x% equals 511.04 of the output value, so we can write it down as x%=511.04.
5. Now we have two simple equations:
1) 100%=1099
2) x%=511.04
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%=1099/511.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 511.04 is what percent of 1099

100%/x%=1099/511.04
(100/x)*x=(1099/511.04)*x       - we multiply both sides of the equation by x
100=2.150516593613*x       - we divide both sides of the equation by (2.150516593613) to get x
100/2.150516593613=x
46.500454959054=x
x=46.500454959054

now we have:
511.04 is 46.500454959054% of 1099