Enter the percentage and known value below to find the total value. This calculator will show you the result and provide step-by-step explanations.
Calculating the total value from a percentage and a known value is a common task in various fields, including finance, statistics, and everyday problem-solving. This process involves finding the whole amount when you know a part of it and what percentage that part represents.
The formula to calculate the total value is:
\[ \text{Total Value} = \frac{\text{Known Value} \times 100}{\text{Percentage}} \]
Where:
Let's say we know that $50 represents 25% of a total amount. We want to find the total amount.
Known Value = $50
Percentage = 25%
\[ \text{Total Value} = \frac{50 \times 100}{25} \]
\[ \text{Total Value} = \frac{5000}{25} = 200 \]
The total value is $200.
This diagram illustrates how $50 (25%) relates to the total value of $200. The blue portion represents the known value ($50), which is 25% of the entire bar (total value of $200).