If 40 is 20 percent of a number, then the number is what percent of 40?

Rationale

500%

To solve this problem, we can set up a proportion. If 40 is 20% of a number, that means 40 is equal to 20% of the unknown number. Therefore, 40 = 0.20x, where x is the unknown number. To find what percent x is of 40, we divide x by 40 and multiply by 100 to get the percentage. So, x/40 * 100 = (0.20x/40) * 100 = 0.005x * 100 = 0.5x * 100 = 50x = 500%.

B (200%) YOUR ANSWER

If the number were 200% of 40, it would mean the number is twice the value of 40. However, in this scenario, we are looking for what percent the number is of 40, not how many times larger it is than 40.

C (80%) YOUR ANSWER

If the number were 80% of 40, it would imply that the number is less than 40. However, the question asks for the percentage the number represents when compared to 40, not when compared to the number itself.

D (20%) YOUR ANSWER

Choosing 20% as the answer would mean that the number is only 20% of 40, which is the opposite of what the question is asking. We need to find the percentage that the number represents concerning 40.

Conclusion

By setting up a proportion and solving for the unknown number, we determine that the number is 500% of 40. This means that the unknown number is five times larger than 40, fulfilling the conditions provided in the question.

If 40 is 20 percent of a number, then the number is what percent of 40?

500%

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