The point at which the percentage of two incrementing variables becomes equal

So , currently I am doing some litecoin mining , some of you may have done this. When I was looking at the share figures I was having a thought in my mind, there are two constantly increasing numbers , currently 15,223,520 and 634,413,584 , if the first number increases by 26000 per minute and the second one increases by 200000 per minute at what point will the percentage of the first number to the second number plateau? By this I mean where the incrementation amounts become enough to keep the percentage of the first number to the second number equal.

You start out at 2%.

After a day you’re at about 5%.

After a week you’re at about 10%.

After a month you’re at about 12%.

After a year you’re still less than 13%.

In 10 years you’re still less than 13%.

In 100 years you’re still less than 13%.

In 1000 years you’re still less than 13%.

And this makes sense, since 26000/200000 is 13%.

Here’s the little program I wrote to come up with those numbers:



public class Test{

	public static void main (String... args){
		
		long first = 15_223_520;
		long second = 634_413_584;
		
		double prevPercent = -1;
		double newPercent = 0;
		int minutes = 0;
		
		//while(prevPercent != newPercent){
		for(int i = 0; i < 60*24*365; i++){
			
			minutes++;
			
			first += 26_000;
			second += 200_000;
			
			prevPercent = newPercent;
			newPercent = ((double)first)/second;
			
			if(minutes % (60*24) == 0){
				System.out.println("Minutes: " + minutes);
				System.out.println("First: " + first);
				System.out.println("Second: " + second);
				System.out.println("Percent: " + newPercent);
				System.out.println();
			}
		}
		
		System.out.println(minutes);
	}
}