438.4 is what percent of 736 - 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 736 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 736, so we can write it down as 100%=736.
4. We know, that x% equals 438.4 of the output value, so we can write it down as x%=438.4.
5. Now we have two simple equations:
1) 100%=736
2) x%=438.4
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%=736/438.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 438.4 is what percent of 736

100%/x%=736/438.4
(100/x)*x=(736/438.4)*x       - we multiply both sides of the equation by x
100=1.6788321167883*x       - we divide both sides of the equation by (1.6788321167883) to get x
100/1.6788321167883=x
59.565217391304=x
x=59.565217391304

now we have:
438.4 is 59.565217391304% of 736