160 of what number is 200 is a fundamental mathematical problem that tests our understanding of proportions and ratios. It's a common puzzle that arises in various situations, from simple algebra equations to complex word problems. By solving this problem, we can develop our critical thinking skills, mathematical reasoning, and problem-solving abilities.
To find the number whose 160% is 200, we need to understand the concept of percentages. A percentage represents a fraction of 100, and it can be expressed as a decimal or a fraction. In this case, we can write 160% as 160/100 or 1.6.
Therefore, we can set up the following equation:
1.6 * **the number** = 200
Divide both sides of the equation by 1.6 to isolate the number.
**the number** = 200 / 1.6
Perform the division to find the value of the number.
**the number** = 125
Therefore, the number whose 160% is 200 is 125.
The concept of 160 of what number is 200 finds applications in various fields, including:
When solving 160 of what number is 200, avoid these common mistakes:
John, a Business Analyst: Used 160 of what number is 200 to calculate the sales revenue target for his company. This enabled him to set realistic goals and track progress effectively.
Mary, a High School Student: Solved 160 of what number is 200 in a mathematics examination, demonstrating her strong understanding of percentages and proportions.
Mark, a Scientist: Utilized 160 of what number is 200 to analyze the composition of a new chemical compound, leading to breakthrough discoveries.
Tables:
Value of 160% | Equivalent Decimal |
---|---|
160% | 1.6 |
16% | 0.16 |
1.6 | 0.016 |
Number | 160% of the Number |
---|---|
125 | 200 |
100 | 160 |
50 | 80 |
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