Step-by-Step Calculation to Reach 1.5 GPM from 235.6 GPM

1. ### Break Down the Problem

We need to determine the percentage reduction required to go from 235.6 gallons per minute (gpm) to 1.5 gpm.

2. ### Relevant Concepts

To find the required reduction, we can use the following formula: $\text{Percentage Reduction} = \frac{\text{Old Value} - \text{New Value}}{\text{Old Value}} \times 100$

3. ### Analysis and Detail

Given:

• Old Value (initial flow rate) = 235.6 gpm
• New Value (desired flow rate) = 1.5 gpm

Now let's substitute the values into the formula.

$\text{Percentage Reduction} = \frac{235.6 - 1.5}{235.6} \times 100$

Calculating the numerator: $235.6 - 1.5 = 234.1$

Now plug this back into the percentage reduction formula: $\text{Percentage Reduction} = \frac{234.1}{235.6} \times 100$

Now calculate the fraction: $\frac{234.1}{235.6} \approx 0.994$

Now multiply by 100 to find the percentage: $0.994 \times 100 \approx 99.4\%$

4. ### Verify and Summarize

To achieve a flow rate of 1.5 gpm from 235.6 gpm, it requires a reduction of approximately 99.4% of the initial flow rate.

Final Answer

To reach a flow rate of 1.5 gpm from 235.6 gpm, a reduction of approximately 99.4% is needed.