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Calculate the percentage decrease in blood glucose from 180 mg/dL to 135 mg/dL.

Mathematics

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Step-by-step solution

2 steps
  1. Calculate the absolute decrease in blood glucose.

    The original blood glucose level is 180 mg/dL180 \text{ mg/dL} and the new level is 135 mg/dL135 \text{ mg/dL}.

    Decrease=Original Value−New Value\text{Decrease} = \text{Original Value} - \text{New Value} Decrease=180 mg/dL−135 mg/dL\text{Decrease} = 180 \text{ mg/dL} - 135 \text{ mg/dL} Decrease=45 mg/dL\text{Decrease} = 45 \text{ mg/dL}
  2. Calculate the percentage decrease.

    The formula for percentage decrease is:

    Percentage Decrease=DecreaseOriginal Value×100%\text{Percentage Decrease} = \frac{\text{Decrease}}{\text{Original Value}} \times 100\% Percentage Decrease=45 mg/dL180 mg/dL×100%\text{Percentage Decrease} = \frac{45 \text{ mg/dL}}{180 \text{ mg/dL}} \times 100\% Percentage Decrease=0.25×100%\text{Percentage Decrease} = 0.25 \times 100\% Percentage Decrease=25%\text{Percentage Decrease} = 25\%

    The percentage decrease is 25%\boxed{\text{25\%}}.

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