How to set WooCommerce Percentage Shipping Per Product

Hello,

On our site demo.e3ngage.com we are using WooCommerce to sell products. The client has informed us that they would like to see a 10% Shipping Charge (and in a few instances a 15% Shipping Charge) as an additional line item in the checkout area. The percentage fee is determined by the price of the particular product being checked out. I went into WooCommerce and it looks like the only thing you can do is set a Flat shipping rate per item that is the same across ALL items. Is this correct? How could I accomplish what the client is looking for? Suggestions are most appreciated.

Kind regards,

AD