3.28 is what percent of 5.457 - 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 5.457 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 5.457, so we can write it down as 100%=5.457.
4. We know, that x% equals 3.28 of the output value, so we can write it down as x%=3.28.
5. Now we have two simple equations:
1) 100%=5.457
2) x%=3.28
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%=5.457/3.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.28 is what percent of 5.457

100%/x%=5.457/3.28
(100/x)*x=(5.457/3.28)*x       - we multiply both sides of the equation by x
100=1.6637195121951*x       - we divide both sides of the equation by (1.6637195121951) to get x
100/1.6637195121951=x
60.106285504856=x
x=60.106285504856

now we have:
3.28 is 60.106285504856% of 5.457