Ratio Order Calculator

The Ratio Order calculator is a ratio calculator by iCalculator™ that allows you to enter ratios and sort them by size order, either from the largest ratio value to the smallest ratio value or vice versa. Simply enter a ratio, click add to ratio list and click on the header row of the tables (either Ratio, Fraction or Percentage) to choose how you would like to order the ratios. In addition, the Ratios will also be displayed as a fraction and a percentage.

Ratio Order Calculator
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This Ratio Order Table is sorted by the Ratio column with the largest ratio value at the top of the table and the smallest ratio value at the bottom of the table.

Ratio Order Results (detailed calculations and formula below)
Ratio ↕Fraction ↕Percentage ↕

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About the Ratio Order Calculator

Ratio Order. This image shows the properties and ratio order formula for the Ratio Order

This Ratio Order Calculator by iCalculator is an excellent ratio calculator to use when you need to order two or more ratios into a value order. You may need to sort your ratios from the largest ratio value to the smallest ratio value or sort by the smallest ratio value first. Whatever your requirement, the Ratio Order Calculator will help you to order the ratio values correctly.

Why do you need a Ratio Order Calculator?

If you think the Ratio Order Calculator is just for math students and math teachers then you are wrong. Arranging Ratios according to their relative values is a real world requirement. Ratios are used in business KPI reports (Key Performance Indicators), in some company appraisal systems (to benchmark personal achievement against personal goals) and within sales performance metrics. These are three very simple and common examples of ratios in the real world, arranging and ordering the ratios according to their value allows a hierarchy of achievement or business success (when considered against our ratio example).

It is important to understand that ratios are very popular in business as they allow a very quick understanding of relative value. For example, lets say you had a target to achieved 1000 sales and you achieved 800 sales, you could express this as a ratio of 800:1000 or simplify to 8:10 and then further to 4:5. If you imagine you are the sales manager for a sales workforce of 200 staff. Imagine 200 fully written numbers to compare in a report, that is a lot of digits whereas a nice, simplified ratio is easier to review and compare. It is important to understand that a ratio does not always have a true value, that is unless it is expressed against a value. In our sales force ratio example, 4:5 as a ratio of 1000 is 800 (4:5 × 1000 = 800). If we simply wrote the ratio is 4:5 without a relating value then we dont have a true understanding of what that ratio means.

Why use ratios is they have no value on their own?

You are be forgiven for thinking (if you do) that it is easier to simply use whole values rather than relative ratios, whole numbers are exact, why mess with them, right?

That is not an unusual thought process when first working with ratios. As your knowledge of math and mathematical functions (whether that be for pure math, physics, finance, staff management, whatever...) the importance of ratios will become clearer. Lets consider an engineer who wants to build a wall using concrete. Each wall you build will probably be a slightly different specification, the width depth and height of the wall will be different each time you engineer and construct it. So, remembering the exact amounts for certain dimension walls would be impractical. So, you use a defined ratio of the components required to make a brick wall (Cement, Sharp Sand, Gravel, Water) and you mix those components in accordance with your ratio to produce the exact volume of concrete required to build your wall. Another good example are chefs, they make cake mixture to feed 4,8,16 200 people. They can achieve the same great taste each time because they cook using ratios, a recipe is a ratio.

In our examples for an engineer and a chef, it is unlikely that they would want to order the ratios into relative values as the related components are not typically important in that context but for our sales manager, ordering the ratios into size order is important, why?

Why put ratios in size order?

In our first ratio order example, we used the example of ones salesperson with a 1000 sales target and 800 sales achieved, lets assume this is over a year period. For the same period, we will add an additional 4 sales staff. each staff member has a target and an achieved rate. The target rate may be sales or booking confirmed so there are different expectations over the year within the team:

  • 800:1000 [4:5] Salesperson 1
  • 900:1000 [4.5:5] Salesperson 2
  • 150:250 [3:5] Salesperson 3
  • 225:250 [4.5:5] Salesperson 4
  • 475:500 [4.75:5] Salesperson 5

In our example numbers above, the first part of the ratio represents the "achieved number" and the second part represents the "target number". This forms the specific ratio in relation to actual target amount verses actual achieved. This can then be simplified into a common ratio, in our example, we have used the number 5 as a common ratio denominator. This allows us to make all the ratios related (you can use the Equivalent Ratio Table Calculator for this exercise if you want to practice making ratios equivalent).

So, by making the ratios equivalent, the sales manager can now place the ratios into an order that allows comparison on an achievement level of target verse achieved Rather than looking purely at the achieved number. So, whereas Salesperson 2 achieved 900 sales (the largest number in the list) Salesperson 5 achieved 475 bookings. 900 is clearly more than 475 but when we look at the achieved verses target we can see that Salesperson 1 achieved 4:5 (or 80% success - see the ratio to percentage calculator for details on how to convert a ratio to a percentage) and Salesperson 5 achieved a ratio of 4.75:5 (or 95% success rate) so the lead performer in the sales team is salesperson 5.

Ratio Order Summary

We have explored ratios, converting them to fractions and percentages and identifying equivalent ratios to allow us to place ratios into relative value order. Importantly, we have explained how ratios on their own have no true value, they must be expressed as a ratio of "something" in order to have a true value. We hope you found this ratio calculator useful, dont forget iCalculator provides a full suite of ratio calculators for all ratio problems. Please leave a rating for this ratio tutorial.