Step-by-Step Calculation

Here is the detailed breakdown of the calculation to find the final answer.

1. 
   Find the Original Number:
   

   First, we set up an equation based on the given information. Let the number be 'x'. The difference between 80% and 62% of the number is 18%.

   
   18% of x = 198

0.18 * x = 198

x = 198 / 0.18

x = 1100
   


2. 
   Calculate the New Difference:
   

   Now we need to find the difference between 92% and 56% of the number we just found (1100). The difference in percentage is 36%.

   
   36% of 1100

= 0.36 * 1100

= 396
   

A More Direct Method (Proportional Reasoning)

We can also solve this without finding the original number first, which is often faster.

• We are given that 18% of the number is equal to 198.


• We need to find the value of 36% of the number (since 92% - 56% = 36%).


• Since 36% is exactly twice as large as 18%, the answer will be exactly twice the given difference.


• 198 * 2 = 396

Final Answer: The difference is 396.