Question

What number is 28.5% of 460?

Answer 1

131.1

Explanation:

Step 1: Our output value is 460.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$460=100\%$.

Step 4: Similarly, $x=28.5\%$.

Step 5: This results in a pair of simple equations:

$460=100\%(1)$.

$x=28.5\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{460}{x}=\frac{100\%}{28.5\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{460}=\frac{28.5}{100}$

$ x=131.1$

Meaning that 28.5 of 460 is 131.1

Answer 2

131.5

Using proportions or 28.5/100 = x/460 to solve