442.29 is what percent of 679 - 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 679 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 679, so we can write it down as 100%=679.
4. We know, that x% equals 442.29 of the output value, so we can write it down as x%=442.29.
5. Now we have two simple equations:
1) 100%=679
2) x%=442.29
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%=679/442.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 442.29 is what percent of 679

100%/x%=679/442.29
(100/x)*x=(679/442.29)*x       - we multiply both sides of the equation by x
100=1.5351918424563*x       - we divide both sides of the equation by (1.5351918424563) to get x
100/1.5351918424563=x
65.138438880707=x
x=65.138438880707

now we have:
442.29 is 65.138438880707% of 679