29 is what percent of 71.18 - 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 71.18 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 71.18, so we can write it down as 100%=71.18.
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%=71.18
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%=71.18/29
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 71.18

100%/x%=71.18/29
(100/x)*x=(71.18/29)*x       - we multiply both sides of the equation by x
100=2.4544827586207*x       - we divide both sides of the equation by (2.4544827586207) to get x
100/2.4544827586207=x
40.741781399269=x
x=40.741781399269

now we have:
29 is 40.741781399269% of 71.18