539.75 is what percent of 1119.75 - 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 1119.75 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 1119.75, so we can write it down as 100%=1119.75.
4. We know, that x% equals 539.75 of the output value, so we can write it down as x%=539.75.
5. Now we have two simple equations:
1) 100%=1119.75
2) x%=539.75
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%=1119.75/539.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 539.75 is what percent of 1119.75

100%/x%=1119.75/539.75
(100/x)*x=(1119.75/539.75)*x       - we multiply both sides of the equation by x
100=2.0745715609078*x       - we divide both sides of the equation by (2.0745715609078) to get x
100/2.0745715609078=x
48.202723822282=x
x=48.202723822282

now we have:
539.75 is 48.202723822282% of 1119.75