29.1 is what percent of 41.1 - 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 41.1 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 41.1, so we can write it down as 100%=41.1.
4. We know, that x% equals 29.1 of the output value, so we can write it down as x%=29.1.
5. Now we have two simple equations:
1) 100%=41.1
2) x%=29.1
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%=41.1/29.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.1 is what percent of 41.1

100%/x%=41.1/29.1
(100/x)*x=(41.1/29.1)*x       - we multiply both sides of the equation by x
100=1.4123711340206*x       - we divide both sides of the equation by (1.4123711340206) to get x
100/1.4123711340206=x
70.802919708029=x
x=70.802919708029

now we have:
29.1 is 70.802919708029% of 41.1