How to set WooCommerce Percentage Shipping Per Product


On our site 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,