Question

100 is smaller than 110 by how many percent?

Answer 1

To determine by what percentage 100 is smaller than 110, the calculation is 100 x (110 - 100) / 100 = 10%. Thus, 100 is 10% smaller than 110.

Step-by-step explanation:

To calculate by what percentage 100 is smaller than 110, we use a percentage-change calculation. The formula for calculating percentage difference is 100 x (Higher Value – Lower Value) / Lower Value. In our case, the higher value is 110, and the lower value is 100.

This means our calculation becomes 100 x (110 - 100) / 100 = 100 x 10 / 100 = 10%.

Therefore, 100 is 10% smaller than 110. This calculation is important to understand as it helps in various real-world calculations like discounts, growth percentage, or the inflation rate mentioned in the provided information, where precision to tenths of a percent matters.

Answer 2

9.09%

Any percent increase or decrease can be determined by using the process:

change/original ×100%

The change is the amount of increase or decrease, simply subtract:

Bigger value - smaller value

Step-by-step explanation:

in this case 110-100

----------- ×100

110

=100/11 = 9.09 %

hope it helps