Calculate the Percentage: What is 25 out of 125?

Question

What is the percentage of 25 over 125?

Video Solution

Solution Steps

00:00 Calculate 25 as a percentage of 125
00:05 Apply the formula for calculating percentages
00:10 Divide one number by the other and proceed to multiply by 100
00:15 Break down 125 into factors of 25 and 5
00:25 Break down 100 into factors of 25 and 4
00:35 Reduce wherever possible
00:47 This is the solution

Step-by-Step Solution

To solve the problem of finding what percentage 25 is of 125, we will use the following formula:

  • Percentage=(PartWhole)×100\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100

Let's perform the necessary calculations:

First, divide 25 by 125:

25125=0.2\frac{25}{125} = 0.2

Next, convert this fraction to a percentage by multiplying by 100:

0.2×100=20%0.2 \times 100 = 20\%

Therefore, the percentage of 25 over 125 is 20%20\%.

Answer

20%