2435.48 is what percent of 30200 - 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 30200 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 30200, so we can write it down as 100%=30200.
4. We know, that x% equals 2435.48 of the output value, so we can write it down as x%=2435.48.
5. Now we have two simple equations:
1) 100%=30200
2) x%=2435.48
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%=30200/2435.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2435.48 is what percent of 30200

100%/x%=30200/2435.48
(100/x)*x=(30200/2435.48)*x       - we multiply both sides of the equation by x
100=12.400019708641*x       - we divide both sides of the equation by (12.400019708641) to get x
100/12.400019708641=x
8.0645033112583=x
x=8.0645033112583

now we have:
2435.48 is 8.0645033112583% of 30200