By default, the rank, url_rank, and domain_rank values are presented on a 0–1000 scale in the results of the Content Analysis API endpoints. However, you can change the scale to 0–100 using the rank_scale parameter in the request.

When you specify the rank_scale parameter as one_hundred, all of the rank values in the response will be converted and displayed as values on a 0–100 scale. To convert and validate the rank values, we utilize the following formula:

sin(rank / 636.62) * 100

In this formula, rank stands for rank, url_rank, or domain_rank values calculated using the 0–1000 scale, and 636.62 is our proprietary coefficient for correctly interpreting the values on a 0–100 scale.

For example, if the domain rank is 694 on the 0–1000 scale, then after applying the formula it becomes: sin(694 / 636.62) * 100 = 88.6, which will be rounded to the nearest whole number and displayed as 89.