The phrase "significant amount" refers to a large or notable quantity or value of something. It suggests that the amount is important, considerable, or has a considerable impact. Full definition
Although nuclear fusion offers the potential of significant amounts of energy for the future, it is expensive to research and develop into a stable power generation source. (power-technology.com)
Be careful though: dogs do not spend significant amounts of time grooming themselves like cats do. (pmcofedmond.com)
We strive for quality over quantity, and thus I believe that by NOT buying a lot of packaged foods, we actually save significant amounts of money while maximizing nutrition. (organicthrifty.com)