28.5 is what percent of 29.657 - 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 29.657 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 29.657, so we can write it down as 100%=29.657.
4. We know, that x% equals 28.5 of the output value, so we can write it down as x%=28.5.
5. Now we have two simple equations:
1) 100%=29.657
2) x%=28.5
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%=29.657/28.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.5 is what percent of 29.657

100%/x%=29.657/28.5
(100/x)*x=(29.657/28.5)*x       - we multiply both sides of the equation by x
100=1.0405964912281*x       - we divide both sides of the equation by (1.0405964912281) to get x
100/1.0405964912281=x
96.098728799272=x
x=96.098728799272

now we have:
28.5 is 96.098728799272% of 29.657