A school had 900 students at the start of a school year. If there is
an enrollment increase of 7% by the beginning of the next year, what is the new
enrollment?
1.07*900
In other words 100 percent (1.00) plus the new 7 percent (0.07) = 107% or 1.07
7%100=.7
900/.7=1285.71
7%/100=0.07
900/0.07=12857.14
Anonymous,
7%/100 = .07 is correct
however to increase something by 7% you add .07 times the original amount. In other words multiply by 1.07.
What you did was find what 900 was 7% of, a very large number compared to 900.
Use the "does my answer make sense test". If I only increase 900 by 7% will it really be over twelve thousand? That sure would be a lot of new students.
To find the new enrollment after a 7% increase, you first need to calculate the increase in students.
Step 1: Calculate the increase in students
The increase is given as a percentage, so you can calculate it by multiplying the current enrollment by the percentage increase expressed as a decimal.
Increase = Current Enrollment * Percentage Increase
Increase = 900 * 0.07
Increase = 63
Step 2: Calculate the new enrollment
To find the new enrollment, you need to add the increase to the current enrollment.
New Enrollment = Current Enrollment + Increase
New Enrollment = 900 + 63
New Enrollment = 963
Therefore, the new enrollment at the beginning of the next year is 963 students.