90 to 130 is what percentage increase?

Understand the Problem

The question is asking for the percentage increase from 90 to 130. To find this, we will use the formula for percentage increase, which is: ((new value - old value) / old value) * 100.

Answer

Approximately 44.44%
Answer for screen readers

Approximately 44.44%

Steps to Solve

  1. Identify the old and new values

In this problem, the old value is 90 and the new value is 130.

  1. Calculate the difference between the new and old values

We subtract the old value from the new value to find the change:

$$ 130 - 90 = 40 $$

  1. Divide the difference by the old value

Next, we calculate the ratio of the difference to the old value:

$$ \frac{40}{90} $$

  1. Convert the ratio to a percentage

To find the percentage increase, multiply the result from the previous step by 100:

$$ \left(\frac{40}{90}\right) \times 100 \approx 44.44 $$

  1. State the final answer

The percentage increase from 90 to 130 is approximately 44.44%.

Approximately 44.44%

More Information

The percentage increase is a way to express the change (40) relative to the original amount (90) as a part of that original amount. This provides insight into how significant the change is in relation to the original value.

Tips

  • Not subtracting the old value from the new value correctly.
  • Forgetting to multiply by 100 when converting the ratio to a percentage.

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