3.48 is what percent of 3.52 - 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 3.52 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 3.52, so we can write it down as 100%=3.52.
4. We know, that x% equals 3.48 of the output value, so we can write it down as x%=3.48.
5. Now we have two simple equations:
1) 100%=3.52
2) x%=3.48
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%=3.52/3.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.48 is what percent of 3.52

100%/x%=3.52/3.48
(100/x)*x=(3.52/3.48)*x       - we multiply both sides of the equation by x
100=1.0114942528736*x       - we divide both sides of the equation by (1.0114942528736) to get x
100/1.0114942528736=x
98.863636363636=x
x=98.863636363636

now we have:
3.48 is 98.863636363636% of 3.52