49.75 is what percent of 52.4 - 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 52.4 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 52.4, so we can write it down as 100%=52.4.
4. We know, that x% equals 49.75 of the output value, so we can write it down as x%=49.75.
5. Now we have two simple equations:
1) 100%=52.4
2) x%=49.75
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%=52.4/49.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.75 is what percent of 52.4

100%/x%=52.4/49.75
(100/x)*x=(52.4/49.75)*x       - we multiply both sides of the equation by x
100=1.0532663316583*x       - we divide both sides of the equation by (1.0532663316583) to get x
100/1.0532663316583=x
94.942748091603=x
x=94.942748091603

now we have:
49.75 is 94.942748091603% of 52.4