29.25 is what percent of 70.75 - 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 70.75 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 70.75, so we can write it down as 100%=70.75.
4. We know, that x% equals 29.25 of the output value, so we can write it down as x%=29.25.
5. Now we have two simple equations:
1) 100%=70.75
2) x%=29.25
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%=70.75/29.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.25 is what percent of 70.75

100%/x%=70.75/29.25
(100/x)*x=(70.75/29.25)*x       - we multiply both sides of the equation by x
100=2.4188034188034*x       - we divide both sides of the equation by (2.4188034188034) to get x
100/2.4188034188034=x
41.342756183746=x
x=41.342756183746

now we have:
29.25 is 41.342756183746% of 70.75