442.6 is what percent of 459.4 - 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 459.4 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 459.4, so we can write it down as 100%=459.4.
4. We know, that x% equals 442.6 of the output value, so we can write it down as x%=442.6.
5. Now we have two simple equations:
1) 100%=459.4
2) x%=442.6
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%=459.4/442.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 442.6 is what percent of 459.4

100%/x%=459.4/442.6
(100/x)*x=(459.4/442.6)*x       - we multiply both sides of the equation by x
100=1.0379575237235*x       - we divide both sides of the equation by (1.0379575237235) to get x
100/1.0379575237235=x
96.343056160209=x
x=96.343056160209

now we have:
442.6 is 96.343056160209% of 459.4