Introduction: Knowing how to calculate percentage increases can be highly beneficial in different situations. This guide will walk you through the process of determining a 40% increase of 500, offering a clear and detailed explanation.

Prior to delving into the computation, it is imperative to establish the variables implicated.

- $a$: The initial value, which in this case is 500.
- $b$: The percentage increase, which is 40%.

The formula for calculating a percentage increase is:

$x=a+(\frac{b}{100}\times a)$This equation takes into consideration both the starting value and the percentage growth.

Substitute the values of $a$ and $b$ into the formula: $x=500+(\frac{40}{100}\times 500)$

Perform the mathematical calculations.

$x=500+(\frac{40}{100}\times 500)$$x=500+(0.4\times 500)$

$x=500+200$

$x=700$

The result, $x=700$, signifies that a 40% increase of 500 yields 700. In other words, 500 increased by 40% equals 700.

Conclusion: Having knowledge of how to compute percentage increments, like a 40% rise from 500, can be made easier through a methodical method. By adhering to the provided instructions and making use of.

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