90.5 is what percent of 300.8 - 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 300.8 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 300.8, so we can write it down as 100%=300.8.
4. We know, that x% equals 90.5 of the output value, so we can write it down as x%=90.5.
5. Now we have two simple equations:
1) 100%=300.8
2) x%=90.5
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%=300.8/90.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.5 is what percent of 300.8

100%/x%=300.8/90.5
(100/x)*x=(300.8/90.5)*x       - we multiply both sides of the equation by x
100=3.3237569060773*x       - we divide both sides of the equation by (3.3237569060773) to get x
100/3.3237569060773=x
30.086436170213=x
x=30.086436170213

now we have:
90.5 is 30.086436170213% of 300.8