# Thread: Finding Percentage increase and decrease

1. ## Finding Percentage increase and decrease

Please help me! Show me the counting "formula" for the solution. Thanks!!!

- How much is the raise (in procents) from 102 to 185 ?

- How many procents is the "dropping" from 200 to 180 ?

2. Originally Posted by Shandy
Please help me! Show me the counting "formula" for the solution. Thanks!!!

- How much is the raise (in procents) from 102 to 185 ?

- How many procents is the "dropping" from 200 to 180 ?
there are several ways to do problems like this. the shorter way is to set $102 + 102x = 185$ and solve for $x$. this gives you the decimal value form of the percentage. multiply by 100 to get the percentage.

as you may have trouble seeing why that works, another method is to first find the difference.

$185 - 102 = 83$

so we increased by 83. now the task is to find what percentage of 102 is 83

that's given by $\frac {83}{102} \times 100$

the second question can be done in a similar manner
The text contains two mathematical questions related to percentage increase and decrease, and a detailed explanation for solving such problems is provided.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Thread: Finding Percentage increase and decrease

1. ## Finding Percentage increase and decrease

Please help me! Show me the counting "formula" for the solution. Thanks!!!

- How much is the raise (in procents) from 102 to 185 ?

- How many procents is the "dropping" from 200 to 180 ?

2. Originally Posted by Shandy
Please help me! Show me the counting "formula" for the solution. Thanks!!!

- How much is the raise (in procents) from 102 to 185 ?

- How many procents is the "dropping" from 200 to 180 ?
there are several ways to do problems like this. the shorter way is to set $102 + 102x = 185$ and solve for $x$. this gives you the decimal value form of the percentage. multiply by 100 to get the percentage.

as you may have trouble seeing why that works, another method is to first find the difference.

$185 - 102 = 83$

so we increased by 83. now the task is to find what percentage of 102 is 83

that's given by $\frac {83}{102} \times 100$

the second question can be done in a similar manner
user
The text contains two mathematical questions related to percentage increase and decrease, and a detailed explanation for solving such problems is provided.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS