527.4 is what percent of 1103 - 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 1103 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 1103, so we can write it down as 100%=1103.
4. We know, that x% equals 527.4 of the output value, so we can write it down as x%=527.4.
5. Now we have two simple equations:
1) 100%=1103
2) x%=527.4
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%=1103/527.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 527.4 is what percent of 1103

100%/x%=1103/527.4
(100/x)*x=(1103/527.4)*x       - we multiply both sides of the equation by x
100=2.09139173303*x       - we divide both sides of the equation by (2.09139173303) to get x
100/2.09139173303=x
47.815049864007=x
x=47.815049864007

now we have:
527.4 is 47.815049864007% of 1103