29.75 is what percent of 717.75 - 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 717.75 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 717.75, so we can write it down as 100%=717.75.
4. We know, that x% equals 29.75 of the output value, so we can write it down as x%=29.75.
5. Now we have two simple equations:
1) 100%=717.75
2) x%=29.75
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%=717.75/29.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.75 is what percent of 717.75

100%/x%=717.75/29.75
(100/x)*x=(717.75/29.75)*x       - we multiply both sides of the equation by x
100=24.126050420168*x       - we divide both sides of the equation by (24.126050420168) to get x
100/24.126050420168=x
4.1448972483455=x
x=4.1448972483455

now we have:
29.75 is 4.1448972483455% of 717.75