The percent of increase is 16%. The new number is 522. What was the original number?
522 = x(1 + .16)
522 = 1.16x
Divide both sides by 1.16.
To find the original number, we need to reverse the percentage increase calculation.
Let's denote the original number as 'x'.
The percent of increase can be calculated as 16% of the original number, which is 0.16 * x.
So, the new number can be expressed as the sum of the original number and the percent of increase:
new number = original number + percent of increase
522 = x + 0.16x
Simplifying the equation:
1.16x = 522
Dividing both sides of the equation by 1.16:
x = 522 / 1.16
Evaluating this expression:
x ≈ 450.86
Therefore, the original number was approximately 450.86.
To find the original number, we need to know the percent of increase and the new number. In this case, the percent of increase is given as 16%, and the new number is 522.
To find the original number, we can use the following formula:
Original number = New number / (1 + Percent of increase)
Plugging in the given values, we have:
Original number = 522 / (1 + 0.16)
Simplifying the expression inside the parentheses, we get:
Original number = 522 / 1.16
Now, we can divide 522 by 1.16 to find the original number:
Original number ≈ 450.69
Therefore, the original number was approximately 450.69.