53.48 is what percent of 2396 - 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 2396 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 2396, so we can write it down as 100%=2396.
4. We know, that x% equals 53.48 of the output value, so we can write it down as x%=53.48.
5. Now we have two simple equations:
1) 100%=2396
2) x%=53.48
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%=2396/53.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.48 is what percent of 2396

100%/x%=2396/53.48
(100/x)*x=(2396/53.48)*x       - we multiply both sides of the equation by x
100=44.801795063575*x       - we divide both sides of the equation by (44.801795063575) to get x
100/44.801795063575=x
2.2320534223706=x
x=2.2320534223706

now we have:
53.48 is 2.2320534223706% of 2396