So, get ready for a very basic crash course in philosophy, because it’s necessary to understand Transubstantiation. This is super basic, but here goes:
First off, we do not believe that the bread is simultaneously bread and physical body. That is, I think it’s called, consubstantiation, which is what Lutherans and some other Protestant sects believe. After the Transubstantiation, there is no more bread, it is 100% Body of Christ.
Now on to the philosophy bit.
In order to understand Transubstantiation, you have to understand the concepts of substance and accidents.
The substance of a thing is what it is. A square is a shape made up of four equal sides. A triangle is a shape made up of three sides. A great example for this discussion is a chair, which is a surface with some number of legs, used for sitting.
The accidents of a thing are how a substance is expressed. A square can be many different sizes or colors. A triangle can be equilateral, obtuse, having many different sizes, etc. Both of those things, no matter how they are expressed, are their respective substance. Think about chairs. You’ve probably seen hundreds of different expressions of chair in your life. From where I’m sitting I count five different forms, all of which are chairs.
With all that in mind, this is how Catholics understand the Eucharist. During the consecration, the substance of bread in the host is replaced with the substance of Christ’s body, while retaining the accidents of bread. As such, while we visually perceive it as bread, and our body understands it as bread for the purposes of consumption, the substance, or actuality, of what we’re consuming is the body of Christ.
I know it’s a hard thing to accept. I believe it and I still can’t really wrap my head around it, but we also have evidence in the form of Eucharistic Miracles to provide some evidence. There have been tons of them, and in them, the accidents of the body or blood are actually replaced with the accidents of actual flesh and blood. There are many cases where they’ve been blind-tested and found to be real flesh and blood. It’s really fascinating and amazing ^^.
I hope this helps. God bless!