29.75 is what percent of 34 - 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 34 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 34, so we can write it down as 100%=34.
4. We know, that x% equals 29.75 of the output value, so we can write it down as x%=29.75.
5. Now we have two simple equations:
1) 100%=34
2) x%=29.75
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%=34/29.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.75 is what percent of 34

100%/x%=34/29.75
(100/x)*x=(34/29.75)*x       - we multiply both sides of the equation by x
100=1.1428571428571*x       - we divide both sides of the equation by (1.1428571428571) to get x
100/1.1428571428571=x
87.5=x
x=87.5

now we have:
29.75 is 87.5% of 34