What percent of 125 is 90? Write your answers in the blanks.
The Correct Answer and Explanation is:
Correct Answer:
72%
Explanation:
To determine what percent of 125 is 90, a ratio must be established. The quantity 90 is being compared to the whole value, which is 125. This comparison is represented by the fraction:90125\frac{90}{125}12590
This fraction is then converted into a decimal by performing the division:90÷125=0.7290 \div 125 = 0.7290÷125=0.72
The decimal result, 0.72, indicates the proportion of 90 to 125. To express this as a percentage, the decimal is multiplied by 100:0.72×100=72%0.72 \times 100 = 72\%0.72×100=72%
Therefore, 90 is 72 percent of 125.
Understanding this percentage means recognizing that out of every 100 parts of 125, 90 represents 72 of those parts. Percentages are useful in daily life because they simplify comparison and measurement. For instance, when a person scores 90 out of 125 on a test, expressing the score as a percent gives a clearer picture of performance.
This method can be used with any pair of numbers where the goal is to find what portion or percent one number represents of another. First, divide the part by the whole. Next, multiply the result by 100 to get the percentage. This approach works for prices, discounts, grades, population comparisons, and many other real-life situations.
In summary, converting a part-to-whole relationship into a percentage helps in understanding relative size or importance. In this case, 90 is 72% of 125.
