4.28 is what percent of 4.46 - 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 4.46 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 4.46, so we can write it down as 100%=4.46.
4. We know, that x% equals 4.28 of the output value, so we can write it down as x%=4.28.
5. Now we have two simple equations:
1) 100%=4.46
2) x%=4.28
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%=4.46/4.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.28 is what percent of 4.46

100%/x%=4.46/4.28
(100/x)*x=(4.46/4.28)*x       - we multiply both sides of the equation by x
100=1.0420560747664*x       - we divide both sides of the equation by (1.0420560747664) to get x
100/1.0420560747664=x
95.964125560538=x
x=95.964125560538

now we have:
4.28 is 95.964125560538% of 4.46