> For the complete documentation index, see [llms.txt](https://documentation.soulver.app/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://documentation.soulver.app/syntax-reference/units-and-conversions/rates.md).

# Rate Calculations

A rate is a quantity of one unit in relation to another

```
3 hours / day | 3 hours/day
$99 per week  | $99.00/week
```

Soulver also supports rates with no unit

```
30 bottles / week  | 30/week
30/week as / month | 130/month
```

You can add/subtract rates

```
$20/day + $300/week | $440.00/week
```

And convert them into other compatible forms

```
€30/day in €/month | €913.11/month
```

A simplified rate is also produced from a division of units of different kinds:

```
90 km / 3 day | 30 km/day
```

{% hint style="info" %}
Mathematics requires that units of rates in the same unit category cancel each other out when dividing:

3 hours / 3 days = 0.0416667

This is essentially the first number as a proportion of the second number (10,800 s / 259,200 s), expressed as a decimal.

It can be more helpful to simplify the rate without cancelling units. If you would rather express the proportion as a simplified rate, you can specify the format explicitly:

3 hours / 3 days as hour/day = 1 hour/day
{% endhint %}

### Multiplying rates

```
$50/week × 12 weeks  | $600.00
$24 a day for a year | $8,765.82
500/day to / year    | 182,621.25/year
```

### Handy rate-related phrases

Here are some convenient built-in phrases for doing calculations with rates

```
30 hours at $30/hour | $900.00
$500 at $20/hour     | 25 hours
```


---

# Agent Instructions
This documentation is published with GitBook. GitBook is the documentation platform designed so that both humans and AI agents can read, navigate, and reason over technical content effectively. Learn more at gitbook.com.

## Querying This Documentation
If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question.

Perform an HTTP GET request on the current page URL with the `ask` query parameter, and the optional `goal` query parameter:

```
GET https://documentation.soulver.app/syntax-reference/units-and-conversions/rates.md?ask=<question>&goal=<endgoal>
```

`ask` is the immediate question: it should be specific, self-contained, and written in natural language.
`goal` is optional and describes the broader end goal you are ultimately trying to accomplish on behalf of the user. GitBook uses it to tailor the answer towards what is most useful for that goal.

The response will contain a direct answer to the question and relevant excerpts and sources from the documentation.

Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.