Sure, let's solve this step-by-step.
1. Understand the given information:
- You are provided with a percentage, [tex]\(54.4\%\)[/tex].
- You are also given a value, 979.2, which represents [tex]\(54.4\%\)[/tex] of some original number.
2. Convert the percentage to a decimal:
- Percentages are best used in calculations when expressed as decimals. To convert [tex]\(54.4\%\)[/tex] to a decimal, you divide by 100:
[tex]\[
54.4\% = \frac{54.4}{100} = 0.544
\][/tex]
So, [tex]\(54.4\%\)[/tex] as a decimal is [tex]\(0.544\)[/tex].
3. Set up the equation to find the original number:
- Let [tex]\( x \)[/tex] be the original number. According to the information given,
[tex]\[
0.544x = 979.2
\][/tex]
4. Solve for [tex]\( x \)[/tex]:
- To find [tex]\( x \)[/tex], you need to isolate it by dividing both sides of the equation by [tex]\( 0.544 \)[/tex]:
[tex]\[
x = \frac{979.2}{0.544} = 1800.0
\][/tex]
Thus, 979.2 is [tex]\( 54.4\% \)[/tex] of 1800.0. The original number is 1800.0.
