Answer :

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.

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