grammar - an increase in output of 15%/ an increase of a certain percentage

In my context, I am speaking of a production function and a percentage increase. The production function: Y = F(K, L), where Y - output in units, K - tools in units - capital, L - hours spent on work.

z- a percentage increase, so zY = F(zK, zL).

I've formulated two sentences which are supposed to convey the same meaning,

zY = F(zK, zL).

Do the sentences below reflect the above idea correctly from the point of view of English grammar?

An increase of the same percentage in all factor quantities will lead to an increase in output of the same percentage.

or

An increase of 15% in all factor quantities will lead to an increase in output of 15%.

Answer

There are two places I think you can improve this:

1. 
   

   There are only two factors, so it might be better to use both instead of all. Save all for when there are three or more factors.

   
   


2. 
   

   I'm not sure you need to use the word "quantities" – and I think the sentences may read better without that word.

   
   
   

So, with my suggestions, the sentences would be:

An increase of the same percentage in both factors will lead to an increase in output of the same percentage.

An increase of 15% in both factors will lead to an increase in output of 15%.

Although I might say it this way:

Increasing both factors by the same percentage will cause output to increase by that same percentage.

That's grammatical, but I'm not convinced your theoretical increase would be realized in practice, due to the law of diminishing returns. But that's not a matter of English.   :^)