29.34 is what percent of 34.68 - 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 34.68 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 34.68, so we can write it down as 100%=34.68.
4. We know, that x% equals 29.34 of the output value, so we can write it down as x%=29.34.
5. Now we have two simple equations:
1) 100%=34.68
2) x%=29.34
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%=34.68/29.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.34 is what percent of 34.68

100%/x%=34.68/29.34
(100/x)*x=(34.68/29.34)*x       - we multiply both sides of the equation by x
100=1.1820040899796*x       - we divide both sides of the equation by (1.1820040899796) to get x
100/1.1820040899796=x
84.602076124567=x
x=84.602076124567

now we have:
29.34 is 84.602076124567% of 34.68