Sure, let's solve this step-by-step.
1. Identify the original number and the percentage decrease:
- The original number is 92.
- The percentage decrease is 7%.
2. Calculate the value that corresponds to 7% of 92:
First, convert the percentage into a decimal by dividing by 100:
[tex]\[
\frac{7}{100} = 0.07
\][/tex]
Then, multiply this by the original number (92) to find 7% of it:
[tex]\[
0.07 \times 92 = 6.44
\][/tex]
3. Subtract the 7% value from the original number:
The value found in the previous step is 6.44. Subtract this from the original number:
[tex]\[
92 - 6.44 = 85.56
\][/tex]
So, a number that is 7% smaller than 92 is 85.56.
