28.99 is what percent of 29.84 - 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 29.84 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 29.84, so we can write it down as 100%=29.84.
4. We know, that x% equals 28.99 of the output value, so we can write it down as x%=28.99.
5. Now we have two simple equations:
1) 100%=29.84
2) x%=28.99
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%=29.84/28.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.99 is what percent of 29.84

100%/x%=29.84/28.99
(100/x)*x=(29.84/28.99)*x       - we multiply both sides of the equation by x
100=1.0293204553294*x       - we divide both sides of the equation by (1.0293204553294) to get x
100/1.0293204553294=x
97.151474530831=x
x=97.151474530831

now we have:
28.99 is 97.151474530831% of 29.84