Question

How do you find the percent increase from 18 to 26?

Answer 1

Hint: Find the difference between 18 and 22 and find the % of that with respect to 18. Since the question is asking us to find how much 18 increased to reach 26, we will first find the difference between 18 and 26. This step will give us the answer 8 which should be divided by 18 and then the result must be multiplied by 100 to get the percentage by which 18 increased to reach 26.

Complete step by step solution:
Here, let’s understand what the question is asking us to do. It is telling us to find the “percentage” of increase from 18 to 20. Which means, it is asking us to find the amount by which 18 has increased and then find the percentage equivalent of it? Therefore, first we need to find the difference between 26 and 18. Let’s assume the difference is Q.
$$\begin{gathered} Q=26-18 \\ \Rightarrow Q=8 \end{gathered}$$
Now, we have to find what percentage is Q of 18
To do that, we have to do
$$\begin{gathered} Percentage={\displaystyle \frac{Q}{18}}\times 100 \\ \Rightarrow Percentage={\displaystyle \frac{8}{18}}\times 100 \\ \Rightarrow Percentage={\displaystyle \frac{4}{9}}\times 100 \\ \Rightarrow Percentage=0.4444\times 100 \\ \therefore Percentage=44.44\mathrm{\%} \end{gathered}$$
Hence, we can say that Q is 44.44% of 18. Which means 18 increased by 44.44% to reach 26.

Note: While calculating the percentage, you must be careful because here you have to find the increase with respect to 18 and not 26. Therefore, 18 will be in the denominator against the difference between 18 and 26. Cases when you take 26 as a denominator, your answer will come with respect to 26 which will be the wrong answer.