30.19 is what percent of 29.45 - 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 29.45 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 29.45, so we can write it down as 100%=29.45.
4. We know, that x% equals 30.19 of the output value, so we can write it down as x%=30.19.
5. Now we have two simple equations:
1) 100%=29.45
2) x%=30.19
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%=29.45/30.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.19 is what percent of 29.45

100%/x%=29.45/30.19
(100/x)*x=(29.45/30.19)*x       - we multiply both sides of the equation by x
100=0.97548857237496*x       - we divide both sides of the equation by (0.97548857237496) to get x
100/0.97548857237496=x
102.51273344652=x
x=102.51273344652

now we have:
30.19 is 102.51273344652% of 29.45