Answer :
To find what number 12% equals 208, follow these steps:
1. Understand the percentage problem: You're looking for a number (let's call it [tex]\( X \)[/tex]) such that 12% of [tex]\( X \)[/tex] is equal to 208.
2. Set up the equation:
- When you say 12% of a number, you're saying 12/100 of that number. So, the equation becomes:
[tex]\[ \frac{12}{100} \times X = 208 \][/tex]
3. Convert the percentage to a decimal:
- 12% as a decimal is 0.12. So rewrite the equation with the decimal:
[tex]\[ 0.12 \times X = 208 \][/tex]
4. Solve for [tex]\( X \)[/tex]:
- To isolate [tex]\( X \)[/tex], you need to divide both sides of the equation by 0.12:
[tex]\[ X = \frac{208}{0.12} \][/tex]
5. Calculate [tex]\( X \)[/tex]:
- When you perform the division, you find:
[tex]\[ X \approx 1733.33 \][/tex]
Therefore, the number you are looking for is approximately 1733.33.
1. Understand the percentage problem: You're looking for a number (let's call it [tex]\( X \)[/tex]) such that 12% of [tex]\( X \)[/tex] is equal to 208.
2. Set up the equation:
- When you say 12% of a number, you're saying 12/100 of that number. So, the equation becomes:
[tex]\[ \frac{12}{100} \times X = 208 \][/tex]
3. Convert the percentage to a decimal:
- 12% as a decimal is 0.12. So rewrite the equation with the decimal:
[tex]\[ 0.12 \times X = 208 \][/tex]
4. Solve for [tex]\( X \)[/tex]:
- To isolate [tex]\( X \)[/tex], you need to divide both sides of the equation by 0.12:
[tex]\[ X = \frac{208}{0.12} \][/tex]
5. Calculate [tex]\( X \)[/tex]:
- When you perform the division, you find:
[tex]\[ X \approx 1733.33 \][/tex]
Therefore, the number you are looking for is approximately 1733.33.
