28.99 is what percent of 310.45 - 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 310.45 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 310.45, so we can write it down as 100%=310.45.
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%=310.45
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%=310.45/28.99
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 310.45

100%/x%=310.45/28.99
(100/x)*x=(310.45/28.99)*x       - we multiply both sides of the equation by x
100=10.708865125905*x       - we divide both sides of the equation by (10.708865125905) to get x
100/10.708865125905=x
9.338057658238=x
x=9.338057658238

now we have:
28.99 is 9.338057658238% of 310.45