To find the total number of coins in Kate's collection, we can set up a simple equation based on the information given.

1. Understand the problem: We know that 7 coins represent 5% of Kate's entire collection.

2. Set up the equation: Let $x$ be the total number of coins in Kate's collection. According to the problem, 5% of $x$ is equal to 7 coins. This can be written as:

$0.05x = 7$

3. Solve for $x$: To find $x$, divide both sides of the equation by 0.05.

$x = \frac{7}{0.05}$

4. Calculate $x$:

$x = \frac{7}{0.05} = 140$

Thus, Kate's total coin collection consists of 140 coins.

Would you like more details on the solution, or do you have any other questions?

Here are some related questions to further explore the concept:

1. If 10% of Kate's collection was stolen, how many coins would that be?
2. If Kate adds 20 more coins to her collection, what percentage of her new collection will the 7 coins represent?
3. How many coins would represent 25% of Kate's collection?
4. If Kate decided to give away 15 coins, what percentage of her collection would she have given away?
5. How many coins would Kate need to reach a total of 200 coins in her collection?

Tip: When dealing with percentages, it’s often helpful to convert the percentage to a decimal for easier calculations.