What is the estimate of 18.7 percent of 225?

Answer 1

Well since you're asking for an estimate and not an exact value, let's change the percentage a little. It's always easier in mathematics to work in percentages of 1, 5, and 10.

First, let's start with the smaller of the three percentages I listed above.

1) What is 1% of 225? 1% of 225 is 2.25 (Basically we took 1% and converted it to it's decimal form of 0.01 and then multiplied it by 225.)

Now since we need to get to 18.7 percent we need to multiply 2.25 x 18 (there are 18 - 1%'s in 18%).

2) 2.25 x 18 = 40.5.

Now basically since we're working with 18.7% we can estimate that 1% would be 2.25, so .7% would be approximately .3% less than our 2.25. So as before in #1, let's take the 2.25 and multiply it by .3% (same as 0.03)

3) 2.25 x .03 = 0.0675 (round it to the nearest thousandth - making it 0.07)

4) Now since we need to remove .3% from the 1% (2.25) we would subtract. 2.25 - 0.07 = 2.18.

Now we have out approximate .7%. Now add together the value from 18% and the value from .7%.

5) 40.5 + 2.18 = 42.68.

Now we have our final answer. 18.7% of 225 is approximately 42.68. (When done with a calculator it equates to 42.075). The answer we have is within an acceptable range of calculation.