Step-by-step explanation:
Solution for 205 is what percent of 250:
205: 250*100 =
(205*100): 250 =
20500: 250 = 82
Now we have: 205 is what percent of 250 = 82
Question: 205 is what percent of 250?
Percentage solution with steps:
Step 1: We make the assumption that 250 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=250$.
Step 4: In the same vein, $x\%=205$.
Step 5: This gives us a pair of simple equations:
$100\%=250(1)$.
$x\%=205(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{250}{205}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{205}{250}$
$\Rightarrow x=82\%$
Therefore, $205$ is $82\%$ of $250$.
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Answers & Comments
Step-by-step explanation:
Solution for 205 is what percent of 250:
205: 250*100 =
(205*100): 250 =
20500: 250 = 82
Now we have: 205 is what percent of 250 = 82
Question: 205 is what percent of 250?
Percentage solution with steps:
Step 1: We make the assumption that 250 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=250$.
Step 4: In the same vein, $x\%=205$.
Step 5: This gives us a pair of simple equations:
$100\%=250(1)$.
$x\%=205(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{250}{205}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{205}{250}$
$\Rightarrow x=82\%$
Therefore, $205$ is $82\%$ of $250$.