29.5 is what percent of 41.45 - 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 41.45 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 41.45, so we can write it down as 100%=41.45.
4. We know, that x% equals 29.5 of the output value, so we can write it down as x%=29.5.
5. Now we have two simple equations:
1) 100%=41.45
2) x%=29.5
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%=41.45/29.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.5 is what percent of 41.45

100%/x%=41.45/29.5
(100/x)*x=(41.45/29.5)*x       - we multiply both sides of the equation by x
100=1.4050847457627*x       - we divide both sides of the equation by (1.4050847457627) to get x
100/1.4050847457627=x
71.170084439083=x
x=71.170084439083

now we have:
29.5 is 71.170084439083% of 41.45