443.75 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 443.75 of the output value, so we can write it down as x%=443.75.
5. Now we have two simple equations:
1) 100%=679
2) x%=443.75
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%=679/443.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 443.75 is what percent of 679

100%/x%=679/443.75
(100/x)*x=(679/443.75)*x       - we multiply both sides of the equation by x
100=1.5301408450704*x       - we divide both sides of the equation by (1.5301408450704) to get x
100/1.5301408450704=x
65.353460972018=x
x=65.353460972018

now we have:
443.75 is 65.353460972018% of 679