# Adding Up Rounded Percentages to Equal 100%

When working with rounded percentages, it's actually not that easy to make sure the percentages add up to 100%. Take the following example:

- 40.5%
- 20.6%
- 38.9%

If you use basic rounding, you'll get 41%, 21%, and 39%... which adds up to 101%!

So, what can we do?

### The Solution

The logic behind the solution is fairly straightforward and is just a spin-off of the largest remainder method:

- Instead of rounding to the closest integer, round everything
*down* - Take the sum of those numbers, and subtract it from 100 to determine the difference
- Re-allocate the difference by adding
*1*to the numbers with the highest decimal

Going back to our example:

- We round the numbers to 40, 20, and 38
- We subtract the sum of those (98) from 100, which equals
**2** - We add
*1*to the top**2**highest decimals, which gives us 40, 21, and 39... the sum of which equals 100!

That was the *easy* part. The real trick is duplicating that in code. Thankfully, it's already been done! Read the next section for a class that automatically rounds these numbers, while still preserving their original order.

### The Code

To see the full gist, click here.