Math Snap

STEP 1

1. The donation of $22$ million represents $278\%$ of the charity's total donated funds.
2. We need to find the total amount of the charity's donated funds, which we'll denote as $x$.
3. The relationship between the donation and the total donated funds can be expressed as a percentage equation.

STEP 2

1. Express the given information in terms of an equation involving the total donated funds.
2. Solve the equation to find the total amount of donated funds.

STEP 3

Express the relationship between the donation and the total donated funds using the given percentage.
Let the total donated funds be $x$ million. We know that $278\%$ of $x$ equals $22$ million.
$$278\% \times x = 22 \text{ million}$$ Convert the percentage to a decimal form.
$$2.78 \times x = 22$$

STEP 4

Solve the equation for $x$.
$$x = \frac{22}{2.78}$$

STEP 5

Calculate the value of $x$.
$$x = \frac{22}{2.78} \approx 7.91$$

The total amount of the charity's donated funds is approximately $7.91$ million.
Solution: The total amount of the charity's donated funds is approximately $7.91$ million.