29.14 is what percent of 28.14 - 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 28.14 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 28.14, so we can write it down as 100%=28.14.
4. We know, that x% equals 29.14 of the output value, so we can write it down as x%=29.14.
5. Now we have two simple equations:
1) 100%=28.14
2) x%=29.14
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%=28.14/29.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.14 is what percent of 28.14

100%/x%=28.14/29.14
(100/x)*x=(28.14/29.14)*x       - we multiply both sides of the equation by x
100=0.96568291008922*x       - we divide both sides of the equation by (0.96568291008922) to get x
100/0.96568291008922=x
103.55366027008=x
x=103.55366027008

now we have:
29.14 is 103.55366027008% of 28.14