438.5 is what percent of 744 - 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 744 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 744, so we can write it down as 100%=744.
4. We know, that x% equals 438.5 of the output value, so we can write it down as x%=438.5.
5. Now we have two simple equations:
1) 100%=744
2) x%=438.5
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%=744/438.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 438.5 is what percent of 744

100%/x%=744/438.5
(100/x)*x=(744/438.5)*x       - we multiply both sides of the equation by x
100=1.69669327252*x       - we divide both sides of the equation by (1.69669327252) to get x
100/1.69669327252=x
58.938172043011=x
x=58.938172043011

now we have:
438.5 is 58.938172043011% of 744