You can confirm that assets are correctly allocated by following these steps:
1. Navigate to the asset page in question
2. Edit Columns and add the perspective you are interested in
3. Search for the asset on the asset page
If the perspective column is populated for the asset you are interested in, then the same should be reflected on the Cost History report as well.
If the perspective column says it’s "Other" and the the expectation is the asset should be mapped to a perspective, please reach out to CloudHealth Technical Support to investigate further.