442.7 is what percent of 620 - 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 620 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 620, so we can write it down as 100%=620.
4. We know, that x% equals 442.7 of the output value, so we can write it down as x%=442.7.
5. Now we have two simple equations:
1) 100%=620
2) x%=442.7
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%=620/442.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 442.7 is what percent of 620

100%/x%=620/442.7
(100/x)*x=(620/442.7)*x       - we multiply both sides of the equation by x
100=1.4004969505308*x       - we divide both sides of the equation by (1.4004969505308) to get x
100/1.4004969505308=x
71.403225806452=x
x=71.403225806452

now we have:
442.7 is 71.403225806452% of 620