Steering Wheel KPI

If you search for Sunburst chart template. You should find several out there.
If you have access to Excel 2016, it's one of default template available.

Instead of two pie chart. Use Doughnut chart and use two series.
As long as both the inner series and outer series add up to same value (percentage, or otherwise) you can get different size slice to match up.

See attached, where I played a bit with your data. See if this is close to what you are looking for.
Other than this, it will require quite a bit of manual work and/or extensive coding.
There are few paid add-ins that will probably meet your need.