30.2 is what percent of 498 - 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 498 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 498, so we can write it down as 100%=498.
4. We know, that x% equals 30.2 of the output value, so we can write it down as x%=30.2.
5. Now we have two simple equations:
1) 100%=498
2) x%=30.2
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%=498/30.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.2 is what percent of 498

100%/x%=498/30.2
(100/x)*x=(498/30.2)*x       - we multiply both sides of the equation by x
100=16.490066225166*x       - we divide both sides of the equation by (16.490066225166) to get x
100/16.490066225166=x
6.0642570281124=x
x=6.0642570281124

now we have:
30.2 is 6.0642570281124% of 498