43.3 is what percent of 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 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 46, so we can write it down as 100%=46.
4. We know, that x% equals 43.3 of the output value, so we can write it down as x%=43.3.
5. Now we have two simple equations:
1) 100%=46
2) x%=43.3
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%=46/43.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.3 is what percent of 46

100%/x%=46/43.3
(100/x)*x=(46/43.3)*x       - we multiply both sides of the equation by x
100=1.0623556581986*x       - we divide both sides of the equation by (1.0623556581986) to get x
100/1.0623556581986=x
94.130434782609=x
x=94.130434782609

now we have:
43.3 is 94.130434782609% of 46