text: # 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
explanation: The document is a forum thread where a user named Shandy asks for help with calculating percentage increase and decrease. The user provides two specific questions and requests the formula for solving them. Another user responds with a detailed explanation of how to solve these problems, providing both a shorter and a more detailed method.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # 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
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a forum thread where a user named Shandy asks for help with calculating percentage increase and decrease. The user provides two specific questions and requests the formula for solving them. Another user responds with a detailed explanation of how to solve these problems, providing both a shorter and a more detailed method.
  
  Label: question-and-answer