What's 25 of 600?
What's 25 of 600?
Unlock the Secrets of Proportions and Percentages
What's 25 of 600?
A Comprehensive Guide
Are you grappling with the mathematical conundrum of "what's 25 of 600"? Look no further! This comprehensive guide will delve into the intricacies of proportions and percentages, empowering you to solve this problem and countless others with ease.
Understanding Proportions
Proportions are mathematical equations that establish the relationship between two or more ratios. They are commonly expressed in the form a/b = c/d, where a, b, c, and d are all numbers. In our case, "what's 25 of 600" can be expressed as 25/x = 600/100.
| Proportion | Equivalent |
|---|---|
| 25/x = 600/100 | 25 is to x as 600 is to 100 |
| 25/x = 6 | 25 is to x as 6 is to 1 |
Solving for x
To solve for x, we need to isolate x on one side of the equation. This can be achieved by multiplying both sides by x and then dividing both sides by 6.
25/x = 6
25 = 6x
x = 25/6
x = 41.67
Therefore, 25 of 600 is 41.67.
Significance of Percentages
Percentages are a way of expressing proportions as hundredths. In our case, we can express "what's 25 of 600" as a percentage by dividing 25 by 600 and multiplying the result by 100.
(25/600) * 100 = 4.17%
Therefore, 25 of 600 is 4.17%.
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