How do you express 464,000 as a percentage?

To express the number 464,000 as a percentage, you first need to understand that percentages represent a fraction of 100. Here’s how to do it step by step:

1. Determine the total: To convert something into a percentage, it helps to have a total or a whole that you are comparing your number against. For instance, if you are comparing 464,000 to a total of 1,000,000, you can proceed with that number.
2. Use the percentage formula: The formula to calculate a percentage is:
   
   Percentage = (Part / Whole) * 100
3. Plug in the numbers: In this case, the ‘Part’ is 464,000 and the ‘Whole’ is 1,000,000.
   
   So, substituting the numbers into the formula gives:
   
   Percentage = (464,000 / 1,000,000) * 100
4. Calculate: Now, perform the division:

464,000 / 1,000,000 = 0.464

Then, multiply by 100:

0.464 * 100 = 46.4%

Conclusion: Therefore, when 464,000 is expressed as a percentage of 1,000,000, it is 46.4%.