29.74 is what percent of 34.61 - 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 34.61 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 34.61, so we can write it down as 100%=34.61.
4. We know, that x% equals 29.74 of the output value, so we can write it down as x%=29.74.
5. Now we have two simple equations:
1) 100%=34.61
2) x%=29.74
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%=34.61/29.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.74 is what percent of 34.61

100%/x%=34.61/29.74
(100/x)*x=(34.61/29.74)*x       - we multiply both sides of the equation by x
100=1.1637525218561*x       - we divide both sides of the equation by (1.1637525218561) to get x
100/1.1637525218561=x
85.928922276799=x
x=85.928922276799

now we have:
29.74 is 85.928922276799% of 34.61