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Solution for 'What is 150% of 465?'
In the following example, consider that:
- The percentage figure is represented by X%
- The whole amount is represented by W
- The portion amount or part is represented by P
Solution Steps
The following question is of the type "How much X percent of W", where W is the whole amount and X is the percentage figure or rate".
Let's say that you need to find 150 percent of 465. What are the steps?
Step 1: First determine the value of the whole amount. We assume that the whole amount is 465.
Step 2: Determine the percentage, which is 150.
Step 3: Convert the percentage 150% to its decimal form by dividing 150 by 100 to get the decimal number 1.5:
150100 = 1.5
Notice that dividing by 100 is the same as moving the decimal point two places to the left.
150.0 → 15.00 → 1.50
Step 4: Finally, find the portion by multiplying the decimal form found in the previous step by the whole amount:
1.5 x 465 = 697.5 (answer).
The steps above are expressed by the formula:
P = W × X%100
This formula says that:
"To find the portion or the part from the whole amount, multiply the whole by the percentage, then divide the result by 100".
The symbol % means the percentage expressed in a fraction or multiple of one hundred.
Replacing these values in the formula, we get:
P = 465 × 150100 = 465 × 1.5 = 697.5 (answer)
Therefore, the answer is 697.5 is that 150 percent of 465.