4.46 is what percent of 5.11 - 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 5.11 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 5.11, so we can write it down as 100%=5.11.
4. We know, that x% equals 4.46 of the output value, so we can write it down as x%=4.46.
5. Now we have two simple equations:
1) 100%=5.11
2) x%=4.46
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%=5.11/4.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.46 is what percent of 5.11

100%/x%=5.11/4.46
(100/x)*x=(5.11/4.46)*x       - we multiply both sides of the equation by x
100=1.1457399103139*x       - we divide both sides of the equation by (1.1457399103139) to get x
100/1.1457399103139=x
87.279843444227=x
x=87.279843444227

now we have:
4.46 is 87.279843444227% of 5.11