549.6 is what percent of 1159.6 - 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 1159.6 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 1159.6, so we can write it down as 100%=1159.6.
4. We know, that x% equals 549.6 of the output value, so we can write it down as x%=549.6.
5. Now we have two simple equations:
1) 100%=1159.6
2) x%=549.6
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%=1159.6/549.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 549.6 is what percent of 1159.6

100%/x%=1159.6/549.6
(100/x)*x=(1159.6/549.6)*x       - we multiply both sides of the equation by x
100=2.1098981077147*x       - we divide both sides of the equation by (2.1098981077147) to get x
100/2.1098981077147=x
47.395653673681=x
x=47.395653673681

now we have:
549.6 is 47.395653673681% of 1159.6