30.05 is what percent of 30.99 - 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 30.99 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 30.99, so we can write it down as 100%=30.99.
4. We know, that x% equals 30.05 of the output value, so we can write it down as x%=30.05.
5. Now we have two simple equations:
1) 100%=30.99
2) x%=30.05
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%=30.99/30.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.05 is what percent of 30.99

100%/x%=30.99/30.05
(100/x)*x=(30.99/30.05)*x       - we multiply both sides of the equation by x
100=1.0312811980033*x       - we divide both sides of the equation by (1.0312811980033) to get x
100/1.0312811980033=x
96.966763472088=x
x=96.966763472088

now we have:
30.05 is 96.966763472088% of 30.99