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Answer :
- Set up the equation: $\frac{p}{100} \times 124 = 36$.
- Solve for $p$: $p = \frac{36 \times 100}{124}$.
- Calculate $p$: $p = 29.03225806451613$.
- The percentage is approximately $\boxed{29.03\%}$.
### Explanation
1. Understanding the Problem
We want to find what percentage of 124 is equal to 36. Let's call the percentage we are looking for 'p'.
2. Setting up the Equation
We can set up the equation: $$\frac{p}{100} \times 124 = 36$$ This equation states that 'p' percent of 124 is equal to 36.
3. Isolating p
Now, we need to solve for 'p'. To do this, we can multiply both sides of the equation by 100 and then divide by 124: $$p = \frac{36 \times 100}{124}$$
4. Calculating p
Calculating the value of p: $$p = \frac{3600}{124} = 29.03225806451613$$
5. Final Answer
Rounding to two decimal places, we get $p \approx 29.03$. Therefore, 36 is approximately 29.03% of 124.
### Examples
Imagine you are analyzing a company's budget. If the company spent $36,000 on marketing out of a total budget of $124,000, you can use percentages to understand what proportion of the budget was allocated to marketing. This helps in comparing expenses and making informed financial decisions. Understanding percentages is crucial in finance, allowing for quick and easy comparisons of different values.
- Solve for $p$: $p = \frac{36 \times 100}{124}$.
- Calculate $p$: $p = 29.03225806451613$.
- The percentage is approximately $\boxed{29.03\%}$.
### Explanation
1. Understanding the Problem
We want to find what percentage of 124 is equal to 36. Let's call the percentage we are looking for 'p'.
2. Setting up the Equation
We can set up the equation: $$\frac{p}{100} \times 124 = 36$$ This equation states that 'p' percent of 124 is equal to 36.
3. Isolating p
Now, we need to solve for 'p'. To do this, we can multiply both sides of the equation by 100 and then divide by 124: $$p = \frac{36 \times 100}{124}$$
4. Calculating p
Calculating the value of p: $$p = \frac{3600}{124} = 29.03225806451613$$
5. Final Answer
Rounding to two decimal places, we get $p \approx 29.03$. Therefore, 36 is approximately 29.03% of 124.
### Examples
Imagine you are analyzing a company's budget. If the company spent $36,000 on marketing out of a total budget of $124,000, you can use percentages to understand what proportion of the budget was allocated to marketing. This helps in comparing expenses and making informed financial decisions. Understanding percentages is crucial in finance, allowing for quick and easy comparisons of different values.
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