34.94 is what percent of 29.36 - 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 29.36 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 29.36, so we can write it down as 100%=29.36.
4. We know, that x% equals 34.94 of the output value, so we can write it down as x%=34.94.
5. Now we have two simple equations:
1) 100%=29.36
2) x%=34.94
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%=29.36/34.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.94 is what percent of 29.36

100%/x%=29.36/34.94
(100/x)*x=(29.36/34.94)*x       - we multiply both sides of the equation by x
100=0.84029765311963*x       - we divide both sides of the equation by (0.84029765311963) to get x
100/0.84029765311963=x
119.00544959128=x
x=119.00544959128

now we have:
34.94 is 119.00544959128% of 29.36