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Math  /  Numbers & Operations

QuestionOn effectue une augmentation de 8%8 \% puis une augmentation de 13%13 \%.
Détermine l'évolution globale.
Ta réponse: L'évolution globale est une diminution de .... \% Complète ta réponse: diminution - Arrondi à l'unité près.

Studdy Solution

STEP 1

1. We start with an initial value of 100% 100 \% .
2. We first apply an increase of 8% 8 \% .
3. We then apply an additional increase of 13% 13 \% .
4. We need to find the overall percentage change from the original value.

STEP 2

1. Calculate the new value after the first increase.
2. Calculate the new value after the second increase.
3. Determine the overall percentage change.
4. Interpret the result as a percentage increase or decrease.

STEP 3

Start with an initial value of 100% 100 \% .

STEP 4

Apply the first increase of 8% 8 \% .
100%+8%=108% 100\% + 8\% = 108\%

STEP 5

Apply the second increase of 13% 13 \% to the new value.
108%+(108×0.13)=108%+14.04%=122.04% 108\% + (108 \times 0.13) = 108\% + 14.04\% = 122.04\%

STEP 6

Determine the overall percentage change from the original value.
122.04%−100%=22.04% 122.04\% - 100\% = 22.04\%

STEP 7

Interpret the result. Since the result is positive, it is an increase.
The overall change is an increase of approximately 22% 22\% when rounded to the nearest whole number.
The overall percentage change is an increase of:
22%\boxed{22\%}

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