429.44 is what percent of 731.43 - 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 731.43 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 731.43, so we can write it down as 100%=731.43.
4. We know, that x% equals 429.44 of the output value, so we can write it down as x%=429.44.
5. Now we have two simple equations:
1) 100%=731.43
2) x%=429.44
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%=731.43/429.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 429.44 is what percent of 731.43

100%/x%=731.43/429.44
(100/x)*x=(731.43/429.44)*x       - we multiply both sides of the equation by x
100=1.7032181445604*x       - we divide both sides of the equation by (1.7032181445604) to get x
100/1.7032181445604=x
58.712385327372=x
x=58.712385327372

now we have:
429.44 is 58.712385327372% of 731.43