Please Note: This article is written for users of the following Microsoft Excel versions: 2007, 2010, 2013, and 2016. If you are using an earlier version (Excel 2003 or earlier), this tip may not work for you. For a version of this tip written specifically for earlier versions of Excel, click here: Establishing a FLOOR and CEILING.

# Establishing a FLOOR and CEILING

by Allen Wyatt
(last updated May 14, 2016)

Chances are good that you know how to use the primary rounding functions in Excel: ROUND, ROUNDUP, and ROUNDDOWN. There are two other similar functions you can use, as well: FLOOR and CEILING. The FLOOR function allows you to round down (toward zero) while the CEILING function rounds up (away from zero). Unlike other rounding functions, however, FLOOR and CEILING work with multiples of numbers. For instance, consider the following formula:

```=FLOOR(27,12)
```

This formula will return a value of 24. Why? Because 24 is the largest multiple of 12 between 27 and 0. The CEILING function works similarly, as follows:

```=CEILING(27,12)
```

This formula returns 36, since that is the next multiple of 12 away from zero, but larger than 27.

Both FLOOR and CEILING, as you can tell, require two arguments. The first is the number to be "rounded." Actually, this is a misnomer, as there is no real rounding taking place—the number represents the starting point for determining a relationship between the multiple value (the second argument) and zero.

FLOOR and CEILING can come in handy if you are trying to figure out multiples of items. (In this way it is similar to the MROUND function.) For instance, suppose you were running your youth group candy sale, and you could only deliver candy to the kids in full boxes. Each box contained 12 candy bars. Suppose cell B3 contained an order quantity, and cell C3 contained the number of candy bars in each box (in this case, 12). You could place the following formula in cell D3 to return the number of full boxes that should be delivered:

```=FLOOR(B3,C3)/C3
```

If the number of candy bars ordered (in cell B3) is 31, then the value returned by the formula will be 2. (2 boxes at 12 bars each is 24 bars.) Granted, this formula could also be easily constructed using the INT or TRUNC functions (Excel very often provides multiple ways to accomplish the same tasks). You could use the CEILING function in place of the FLOOR function in this example if you wanted to "round up" to the next full box above what is required for the candy order:

```=CEILING(B3,C3)/C3
```

Using the same scenario, this formula would return 3 (3 boxes, or 36 candy bars).

When using FLOOR and CEILING, remember that the sign of the arguments must match. If one argument is positive and the other negative, Excel returns an error value of #NUM!.

ExcelTips is your source for cost-effective Microsoft Excel training. This tip (12334) applies to Microsoft Excel 2007, 2010, 2013, and 2016. You can find a version of this tip for the older menu interface of Excel here: Establishing a FLOOR and CEILING.

##### Author Bio

Allen Wyatt

With more than 50 non-fiction books and numerous magazine articles to his credit, Allen Wyatt is an internationally recognized author. He is president of Sharon Parq Associates, a computer and publishing services company. ...

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What is nine more than 0?

2016-05-14 08:59:48

Marcel Beugelsdijk

From Excel 2010, if you supply a negative number with a positive multiple, rounding will be mathmetical, so really down, away from zero (with FLOOR) and up, towards zero (with CEILING).

A specific point of attention for FLOOR: you'll get a #DIV/0! error if the multiple is 0.

Otherwise FLOOR and CEILING are great as these functions can also be used for rounding to decimals (e.g. multiple of 0.01 = 2 decimals) or whole numbers (multiple of 1).

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