29.26 is what percent of 30.66 - 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 30.66 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 30.66, so we can write it down as 100%=30.66.
4. We know, that x% equals 29.26 of the output value, so we can write it down as x%=29.26.
5. Now we have two simple equations:
1) 100%=30.66
2) x%=29.26
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%=30.66/29.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.26 is what percent of 30.66

100%/x%=30.66/29.26
(100/x)*x=(30.66/29.26)*x       - we multiply both sides of the equation by x
100=1.0478468899522*x       - we divide both sides of the equation by (1.0478468899522) to get x
100/1.0478468899522=x
95.433789954338=x
x=95.433789954338

now we have:
29.26 is 95.433789954338% of 30.66