38 is 40% of what number? URGENT 38 is 40% of what number? URGENT
The Correct Answer and Explanation is:
Correct Answer:
38 is 40% of 95.
Explanation
To find what number 38 is 40% of, you are solving the question:
“38 is 40% of what number?”
In mathematical terms, this is:
38 = 40% × X
Where:
38 is the part,
40% is the percentage,
X is the whole (the unknown number we want to find).
Step 1: Convert the percentage to a decimal
40% means 40 out of 100, or:
40% = 40 ÷ 100 = 0.40
So the equation becomes:
38 = 0.40 × X
Step 2: Solve for X
To find X, divide both sides of the equation by 0.40:
X = 38 ÷ 0.40 X = 95
Therefore, 38 is 40% of 95.
Understanding the Concept:
Percentages represent parts of a whole. When someone says “40% of a number,” they mean 40 parts out of 100 of that number. If we reverse the process (as in this problem), we’re given the part (38) and the percent (40%), and we need to find the whole.
This is common in real life. For example, if a student scored 38 points and that was 40% of the total marks, you’d want to know what the total marks were. The process above shows you how to figure it out.
This type of problem uses basic algebra and percentage reasoning, which is essential in finance, shopping discounts, grade calculations, and more.
