Answer :
To solve the problem "58% of what is 63.4?", you need to find the original number that, when 58% of it is calculated, equals 63.4. Here's how you can do it step-by-step:
1. Understand the problem: You know that 58% of some number equals 63.4, and you need to find that unknown number.
2. Convert the percentage to a decimal: Since percentages are out of 100, to work with them in calculations, you convert them to decimals. So, 58% becomes 0.58.
3. Set up the equation: Let's call the original number [tex]\( x \)[/tex]. According to the problem, 58% of [tex]\( x \)[/tex] equals 63.4. In equation form, this is:
[tex]\[
0.58 \times x = 63.4
\][/tex]
4. Solve for [tex]\( x \)[/tex]: Divide both sides of the equation by 0.58 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{63.4}{0.58}
\][/tex]
5. Calculate the result: Perform the division:
[tex]\[
x \approx 109.31
\][/tex]
The original number, such that 58% of it is 63.4, is approximately 109.31.
1. Understand the problem: You know that 58% of some number equals 63.4, and you need to find that unknown number.
2. Convert the percentage to a decimal: Since percentages are out of 100, to work with them in calculations, you convert them to decimals. So, 58% becomes 0.58.
3. Set up the equation: Let's call the original number [tex]\( x \)[/tex]. According to the problem, 58% of [tex]\( x \)[/tex] equals 63.4. In equation form, this is:
[tex]\[
0.58 \times x = 63.4
\][/tex]
4. Solve for [tex]\( x \)[/tex]: Divide both sides of the equation by 0.58 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{63.4}{0.58}
\][/tex]
5. Calculate the result: Perform the division:
[tex]\[
x \approx 109.31
\][/tex]
The original number, such that 58% of it is 63.4, is approximately 109.31.
