First, think about what the word "percent" means. "Per-" means "out of" and "-cent" means 100 (think "centennial"--100 years, etc.). Therefore, "percent" means "out of 100." I'll rephrase the question for you: 600 out of 82500 is equal to what number out of 100?
We start by setting up a proportion. We put a variable, x, in for our unknown. In this case, we don't know what number out of 100--the percent. Our proportion looks like this:
$${\frac{{\mathtt{600}}}{{\mathtt{82\,500}}}} = {\frac{{\mathtt{x}}}{{\mathtt{100}}}}$$
Now, all we have to do is solve for x! We cross-multiply the fraction together (we can only do this for proportions-- two fractions separated by an equals sign), and we get:
600*100 = 82500x .
600*100=60000, so we can simplify the above to:
60000=82500x .
Finally, we divide both sides by 82500, and since 60000/82500=600/825=120/165=24/33=8/11 ,
$${\mathtt{x}} = {\frac{{\mathtt{8}}}{{\mathtt{11}}}}$$ % of 82500. If you need a decimal, and not a fraction, use long divison to get that 8/11 ≈ 0.727.
600 is 8/11 % or 0.727% of 82500.
First, think about what the word "percent" means. "Per-" means "out of" and "-cent" means 100 (think "centennial"--100 years, etc.). Therefore, "percent" means "out of 100." I'll rephrase the question for you: 600 out of 82500 is equal to what number out of 100?
We start by setting up a proportion. We put a variable, x, in for our unknown. In this case, we don't know what number out of 100--the percent. Our proportion looks like this:
$${\frac{{\mathtt{600}}}{{\mathtt{82\,500}}}} = {\frac{{\mathtt{x}}}{{\mathtt{100}}}}$$
Now, all we have to do is solve for x! We cross-multiply the fraction together (we can only do this for proportions-- two fractions separated by an equals sign), and we get:
600*100 = 82500x .
600*100=60000, so we can simplify the above to:
60000=82500x .
Finally, we divide both sides by 82500, and since 60000/82500=600/825=120/165=24/33=8/11 ,
$${\mathtt{x}} = {\frac{{\mathtt{8}}}{{\mathtt{11}}}}$$ % of 82500. If you need a decimal, and not a fraction, use long divison to get that 8/11 ≈ 0.727.
600 is 8/11 % or 0.727% of 82500.
