54.99 is what percent of 114.99 - 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 114.99 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 114.99, so we can write it down as 100%=114.99.
4. We know, that x% equals 54.99 of the output value, so we can write it down as x%=54.99.
5. Now we have two simple equations:
1) 100%=114.99
2) x%=54.99
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%=114.99/54.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.99 is what percent of 114.99

100%/x%=114.99/54.99
(100/x)*x=(114.99/54.99)*x       - we multiply both sides of the equation by x
100=2.0911074740862*x       - we divide both sides of the equation by (2.0911074740862) to get x
100/2.0911074740862=x
47.821549699974=x
x=47.821549699974

now we have:
54.99 is 47.821549699974% of 114.99