1. **State the problem:** Emma has 190 masks on her wall, which is 38% of her entire mask collection. We need to find the total number of masks in her collection.
2. **Formula used:** To find the total when given a part and its percentage, use the formula:
$$\text{Total} = \frac{\text{Part}}{\text{Percentage}}$$
where Percentage is in decimal form.
3. **Convert percentage to decimal:**
$$38\% = \frac{38}{100} = 0.38$$
4. **Set up the equation:**
$$190 = 0.38 \times \text{Total}$$
5. **Solve for Total:**
$$\text{Total} = \frac{190}{0.38}$$
6. **Show intermediate cancellation:**
$$\text{Total} = \frac{\cancel{190}}{\cancel{0.38}}$$
7. **Calculate:**
$$\text{Total} = 500$$
**Answer:** Emma's total mask collection has 500 masks.
Percent Whole 1C6A44
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.