30.2 is what percent of 498.7 - 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 498.7 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 498.7, so we can write it down as 100%=498.7.
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%=498.7
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%=498.7/30.2
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 498.7

100%/x%=498.7/30.2
(100/x)*x=(498.7/30.2)*x       - we multiply both sides of the equation by x
100=16.513245033113*x       - we divide both sides of the equation by (16.513245033113) to get x
100/16.513245033113=x
6.0557449368358=x
x=6.0557449368358

now we have:
30.2 is 6.0557449368358% of 498.7