It's a question that pops up, often in schoolwork or everyday problem-solving: what is 15 percent of 75? At its heart, this is about understanding percentages, a fundamental concept that helps us make sense of proportions and changes in the world around us.
So, how do we get there? Think of 'percent' as 'out of one hundred.' So, 15 percent means 15 out of every 100. To find 15 percent of 75, we can convert the percentage into a decimal by dividing it by 100. That gives us 0.15.
Then, we simply multiply this decimal by the number we're interested in, which is 75. So, the calculation becomes: 0.15 * 75.
Let's break that down. You can think of it as (10/100 * 75) + (5/100 * 75). That's (0.10 * 75) + (0.05 * 75). Ten percent of 75 is 7.5. And half of that, five percent, would be 3.75. Add them together: 7.5 + 3.75 = 11.25.
Alternatively, and perhaps more directly, 0.15 multiplied by 75 equals 11.25. It’s a straightforward arithmetic process, but the concept of percentages is incredibly useful. From calculating discounts in a shop to understanding interest rates, or even interpreting statistics in the news, percentages are woven into the fabric of our daily lives. They allow us to compare quantities and understand relative changes in a clear and concise way. So, while '15 percent of 75' might seem like a simple math problem, it's a gateway to understanding a powerful tool for navigating information and making informed decisions.