Question

If i have 92% of a given number, how do i calculate what 100% is?

Answer 1

One calculates percentage by dividing the number of items by the total and multiplying by 100. If the total is t, and the number items under consideration is n, then p=(n/t)x100. Using algebra to solve the formula for t, the number the question requires, gives the following expression: t=(n/p)x100. If 9.2 is equal to 92 percent of the total, inserting the numbers into the equation results in provides the t=(9.2/92)x100 so t=10. However, knowing to convert the percentage to a decimal and divide the given number by the percentage avoids algebraic manipulation and provides the same results: t=9.2/0.92 or t=10.