29 is what percent of 3722 - 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 3722 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 3722, so we can write it down as 100%=3722.
4. We know, that x% equals 29 of the output value, so we can write it down as x%=29.
5. Now we have two simple equations:
1) 100%=3722
2) x%=29
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%=3722/29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29 is what percent of 3722

100%/x%=3722/29
(100/x)*x=(3722/29)*x       - we multiply both sides of the equation by x
100=128.34482758621*x       - we divide both sides of the equation by (128.34482758621) to get x
100/128.34482758621=x
0.7791509940892=x
x=0.7791509940892

now we have:
29 is 0.7791509940892% of 3722