442.39 is what percent of 533 - 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 533 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 533, so we can write it down as 100%=533.
4. We know, that x% equals 442.39 of the output value, so we can write it down as x%=442.39.
5. Now we have two simple equations:
1) 100%=533
2) x%=442.39
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%=533/442.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 442.39 is what percent of 533

100%/x%=533/442.39
(100/x)*x=(533/442.39)*x       - we multiply both sides of the equation by x
100=1.2048192771084*x       - we divide both sides of the equation by (1.2048192771084) to get x
100/1.2048192771084=x
83=x
x=83

now we have:
442.39 is 83% of 533