Answer :
To solve the question of finding what number 12% of is equal to 208, we can use the concept of percentage calculations. Here's a step-by-step breakdown:
1. Understand the problem: We are looking for a number such that when 12% of it is calculated, it equals 208.
2. Use the percentage formula:
[tex]\[
\text{Percentage} \times \text{Unknown Number} = \text{Given Value}
\][/tex]
In this case:
[tex]\[
12\% \times \text{Unknown Number} = 208
\][/tex]
3. Convert the percentage to a decimal:
Since 12% is being used, convert it to a decimal by dividing by 100:
[tex]\[
12\% = \frac{12}{100} = 0.12
\][/tex]
4. Set up the equation:
[tex]\[
0.12 \times \text{Unknown Number} = 208
\][/tex]
5. Solve for the unknown number:
To find the number, divide both sides of the equation by 0.12:
[tex]\[
\text{Unknown Number} = \frac{208}{0.12}
\][/tex]
6. Calculate the result:
[tex]\[
\text{Unknown Number} \approx 1733.33
\][/tex]
So, 12% of approximately 1733.33 is equal to 208.
1. Understand the problem: We are looking for a number such that when 12% of it is calculated, it equals 208.
2. Use the percentage formula:
[tex]\[
\text{Percentage} \times \text{Unknown Number} = \text{Given Value}
\][/tex]
In this case:
[tex]\[
12\% \times \text{Unknown Number} = 208
\][/tex]
3. Convert the percentage to a decimal:
Since 12% is being used, convert it to a decimal by dividing by 100:
[tex]\[
12\% = \frac{12}{100} = 0.12
\][/tex]
4. Set up the equation:
[tex]\[
0.12 \times \text{Unknown Number} = 208
\][/tex]
5. Solve for the unknown number:
To find the number, divide both sides of the equation by 0.12:
[tex]\[
\text{Unknown Number} = \frac{208}{0.12}
\][/tex]
6. Calculate the result:
[tex]\[
\text{Unknown Number} \approx 1733.33
\][/tex]
So, 12% of approximately 1733.33 is equal to 208.
