302.4 is what percent of 2530 - 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 2530 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 2530, so we can write it down as 100%=2530.
4. We know, that x% equals 302.4 of the output value, so we can write it down as x%=302.4.
5. Now we have two simple equations:
1) 100%=2530
2) x%=302.4
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%=2530/302.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 302.4 is what percent of 2530

100%/x%=2530/302.4
(100/x)*x=(2530/302.4)*x       - we multiply both sides of the equation by x
100=8.3664021164021*x       - we divide both sides of the equation by (8.3664021164021) to get x
100/8.3664021164021=x
11.95256916996=x
x=11.95256916996

now we have:
302.4 is 11.95256916996% of 2530