3.52 is what percent of 6.48 - 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 6.48 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 6.48, so we can write it down as 100%=6.48.
4. We know, that x% equals 3.52 of the output value, so we can write it down as x%=3.52.
5. Now we have two simple equations:
1) 100%=6.48
2) x%=3.52
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%=6.48/3.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.52 is what percent of 6.48

100%/x%=6.48/3.52
(100/x)*x=(6.48/3.52)*x       - we multiply both sides of the equation by x
100=1.8409090909091*x       - we divide both sides of the equation by (1.8409090909091) to get x
100/1.8409090909091=x
54.320987654321=x
x=54.320987654321

now we have:
3.52 is 54.320987654321% of 6.48