If the price of an item increase from $70 to $84, what is the percent of increase in price?

Answer

To find the percent increase in the price of an item that has increased from $70 to $84, we can follow these steps:

### Step 1: Determine the increase in price
First, we need to calculate the increase in price. This is done by subtracting the original price from the new price.

\[ \text{Increase in price} = \text{New Price} - \text{Original Price} = 84 - 70 = 14 \text{ dollars} \]

### Step 2: Calculate the percent increase
Next, we need to find out what percentage the increase ($14) is of the original price ($70). The formula for percent increase is given by:

\[ \text{Percent Increase} = \left( \frac{\text{Increase}}{\text{Original Price}} \right) \times 100 \]

Substituting the values we found:

\[ \text{Percent Increase} = \left( \frac{14}{70} \right) \times 100 \]

### Step 3: Simplify the fraction
Now, we simplify the fraction:

\[ \frac{14}{70} = \frac{2}{10} = \frac{1}{5} \]

### Step 4: Calculate the percentage
Now, we can calculate the percentage:

\[ \text{Percent Increase} = \left( \frac{1}{5} \right) \times 100 = 20 \]

### Conclusion
Thus, the percent increase in the price of the item is:

\[ \text{Percent Increase} = 20\% \]

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