3.38 is what percent of 6.4453125 - 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 6.4453125 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 6.4453125, so we can write it down as 100%=6.4453125.
4. We know, that x% equals 3.38 of the output value, so we can write it down as x%=3.38.
5. Now we have two simple equations:
1) 100%=6.4453125
2) x%=3.38
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%=6.4453125/3.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.38 is what percent of 6.4453125

100%/x%=6.4453125/3.38
(100/x)*x=(6.4453125/3.38)*x       - we multiply both sides of the equation by x
100=1.9068971893491*x       - we divide both sides of the equation by (1.9068971893491) to get x
100/1.9068971893491=x
52.441212121212=x
x=52.441212121212

now we have:
3.38 is 52.441212121212% of 6.4453125