29.14 is what percent of 78 - 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 78 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 78, so we can write it down as 100%=78.
4. We know, that x% equals 29.14 of the output value, so we can write it down as x%=29.14.
5. Now we have two simple equations:
1) 100%=78
2) x%=29.14
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%=78/29.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.14 is what percent of 78

100%/x%=78/29.14
(100/x)*x=(78/29.14)*x       - we multiply both sides of the equation by x
100=2.6767330130405*x       - we divide both sides of the equation by (2.6767330130405) to get x
100/2.6767330130405=x
37.358974358974=x
x=37.358974358974

now we have:
29.14 is 37.358974358974% of 78