12 87.5% of what number is 49?\n$87.5\\% \\cdot y = 49$\n$\\square y = 49$\n$\\frac{\\square y}{\\square} =…

12 87.5% of what number is 49?\n$87.5\\% \\cdot y = 49$\n$\\square y = 49$\n$\\frac{\\square y}{\\square} = \\frac{49}{\\square}$\n$y = \\square$\n87.5% of $\\square$ is 49.

12 87.5% of what number is 49?\n$87.5\\% \\cdot y = 49$\n$\\square y = 49$\n$\\frac{\\square y}{\\square} = \\frac{49}{\\square}$\n$y = \\square$\n87.5% of $\\square$ is 49.

Answer

Explanation:

Step1: Convert percent to decimal

$87.5% = 0.875 = \frac{7}{8}$

Step2: Rewrite the equation

$\frac{7}{8}y = 49$

Step3: Isolate $y$ via division

$y = \frac{49}{\frac{7}{8}}$

Step4: Simplify the expression

$y = 49 \times \frac{8}{7} = 56$

Answer:

The filled-in steps are: $\boldsymbol{\frac{7}{8}}y = 49$ $\boldsymbol{\frac{\frac{7}{8}y}{\boldsymbol{\frac{7}{8}}}} = \frac{49}{\boldsymbol{\frac{7}{8}}}$ $y = \boldsymbol{56}$ 87.5% of $\boldsymbol{56}$ is 49.