To analyze any environment on-premises that might be needed for Office 365 to work, you can use tools such as the following:

• Deployment guide
• Office 365 readiness checks
• Service descriptions
• Remote connectivity analyzer
• Bandwidth and reliability network analyzer

There are references provided by Microsoft that describe the best practices in starting a project. The following is a summary of each tool and guide to help you with each project:

• Deployment guide: For more information on deploying Office 365 Enterprise in your organization refer to https://support.office.com/en-us/article/Deploy-Office-365-Enterprise-for-your-organization-ee73dafb-be54-492e-bcfd-0fbfb5f65e94
• Set up Office 365: To set up Office 365, follow these steps:

• 1. Start an Office 365 trial
  2. Assign your domains to Office 365
  3. Install AD Connect to synchronize objects
  4. Configure services and apps on Office 365
  5. Migrate your data to Office 365
  6. Help your employees to adopt and use Office 365

• Office 365 readiness checks: For more information on setup with health, readiness, and connectivity checks, refer to https://technet.microsoft.com/en-us/library/dn771227.aspx
• Service descriptions: For more information on Office 365 service descriptions, refer to https://technet.microsoft.com/en-us/library/office-365-service-descriptions.aspx
• Remote Connectivity Analyzer: For more information on remote connectivity analyzer refer to https://testconnectivity.microsoft.com/
• Bandwidth and reliability network analyzer: For more information fast track network analysis refer to http://em1-fasttrack.cloudapp.net/o365nwtest

There are many other Microsoft tools that you can use, such as Office 365 Checks, which is the best way to learn if you are ready to work with Office 365.

You can go to https://configure.office.com/Scenario.aspx?sid=11 and choose the options that you need. I will describe this process as follows:

Select the option that you need: 

Quick (basic checks that completes in just a few minutes) is the option that you can choose if you just want to learn the basics:

When you select Quick, you will see the following screen:

The subsequent steps will be different depending on which option you choose; follow the steps according to what your preferred option is. At the end, it will evaluate possible issues that you need to remediate in your on-premises environment prior to implementation, for example, AD Connect and Exchange hybrid.

Another tool is the Office 365 Best Practices Analyzer for Exchange Servers, which you can access using https://support.office.com/en-us/article/about-the-office-365-best-practices-analyzer-for-exchange-server-c137e46e-c05d-4bdc-b968-67fe5ae68765?ui=en-US&rs=en-US&ad=US.

You can use the Office 365 Best Practices Analyzer in the following environments:

• On-premises Exchange server only (Exchange 2013 or later)
• Hybrid configuration (with Exchange 2013 or later)

You can also go to https://portal.office.com/Tools to have access to several tools like Skype for Business, SharePoint, OneDrive for Business, Yammer and so on.