The cost of a particular service is $583, which includes GST at 10%. Find the GST.

Step 1: Understand that GST is included in the given cost, which is $583. The GST rate is 10%.

Step 2: Let's denote the original price (before GST) as X. Since GST is added to the original price to get the final cost, we can write the equation as follows: X + 10% of X = $583.

Step 3: To simplify the calculation, we can express 10% as 0.10. So, the equation becomes: X + 0.10X = $583.

Step 4: Combine like terms: 1.10X = $583.

Step 5: Solve for X (the original price before GST) by dividing both sides of the equation by 1.10: X = $583 / 1.10 =$530.

Step 6: Now that we have the original price, we can find the GST by subtracting the original price from the total cost: GST = $583 -$530 = $53.

So, the GST is $53.