28.61 is what percent of 29.47 - 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 29.47 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 29.47, so we can write it down as 100%=29.47.
4. We know, that x% equals 28.61 of the output value, so we can write it down as x%=28.61.
5. Now we have two simple equations:
1) 100%=29.47
2) x%=28.61
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%=29.47/28.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.61 is what percent of 29.47

100%/x%=29.47/28.61
(100/x)*x=(29.47/28.61)*x       - we multiply both sides of the equation by x
100=1.0300594197833*x       - we divide both sides of the equation by (1.0300594197833) to get x
100/1.0300594197833=x
97.081778079403=x
x=97.081778079403

now we have:
28.61 is 97.081778079403% of 29.47