Is it NP-complete to test if a graph contains $t$ $k$-cliques?

Let $ (G,t,k)$ – a graph with $ t$ cliques with $ k$ vertices (there are $ t$ cliques of size $ k$ in graph $ G$ ), for $ t,k > 100$ . How to prove that $ (G,t,k)$ is NP-complete?

It is obvious that it is in NP. I have tried to prove that $ k$ -CLIQUE language $ (G,k)$ is reducible to a $ (G,t,k)$ language. But I can’t get the idea, how to get $ t$ of $ k$ -CLIQUES.