Solve each of the following problems involving percent.
6.5% of what number is 325?
Let X = the number.
0.065^X = 325.
Solve for X.
First multiply the percentage by 100 (or move the decimal point over 2 places to the left).
6.5% = 0.065
Set up this equation, letting x equal your unknown number. Solve for x.
0.065x = 325
x = ??
scientific notation; retain at least three decimal places.
(8.16 · 105) / (1.03 · 102)
To solve this problem, we need to find out what number represents 6.5% of the unknown number.
Step 1: First, let's set up the problem using the formula for finding a percentage:
"6.5% of x is equal to 325."
Step 2: Convert the percentage to a decimal by dividing it by 100: 6.5% ÷ 100 = 0.065 (decimal representation).
Step 3: Multiply the decimal representation by the unknown number: 0.065 * x = 325.
Step 4: To solve for x, divide both sides of the equation by 0.065:
0.065 * x / 0.065 = 325 / 0.065.
This simplifies to:
1 * x = 5000.
So, the unknown number (x) is 5000. Therefore, 6.5% of 5000 is equal to 325.