Let's break this problem down step by step:
1. Understanding the Problem:
- We are given a base value of 20.
- We need to find 10% of this base value.
- After finding 10% of the base value, we need to perform a modulus operation with 200.
2. Calculating 10% of 20:
- To find 10% of a number, we multiply the number by 10 and then divide by 100.
[tex]\[
10\% \text{ of } 20 = 20 \times \frac{10}{100}
\][/tex]
3. Carrying Out the Multiplication:
- Multiplying 20 by [tex]\(\frac{10}{100}\)[/tex]:
[tex]\[
20 \times \frac{10}{100} = 20 \times 0.1 = 2.0
\][/tex]
- So, 10% of 20 is 2.0.
4. Performing the Modulus Operation:
- Next, we need to find the result of 2.0 modulo 200.
- The modulus operation finds the remainder when one number is divided by another. In this case:
[tex]\[
2.0 \% 200
\][/tex]
- Since 2.0 is less than 200, the remainder when 2.0 is divided by 200 is simply 2.0.
Therefore, the step-by-step solution is:
- Finding 10% of 20 gives us 2.0.
- Calculating [tex]\(2.0 \% 200\)[/tex] results in 2.0.
So, the final results are:
- The percentage value: 2.0
- The result after the modulus operation: 2.0
