If 35% of a number is 416 more than 27% of the same number, then the number is

To find the number, let the unknown value be 'x'. According to the problem, 35% of x is 416 more than 27% of x. This can be expressed as the algebraic equation: 0.35x = 0.27x + 416. Subtracting 0.27x from both sides gives 0.08x = 416, which means 8% of the number is equal to 416. To solve for x, divide 416 by 0.08 (or multiply 416 by 100 and divide by 8). While snippet confirms that 416 divided by 8 equals 52, applying the decimal adjustment (416 / 0.08) results in 5200. Therefore, the number is 5200. This calculation follows standard percentage difference rules where the percentage gap (35% - 27% = 8%) directly corresponds to the absolute difference (416).