Solution for 40 is what percent of 80:
40:80*100 =
(40*100):80 =
4000:80 = 50
Now we have: 40 is what percent of 80 = 50
Question: 40 is what percent of 80?
Percentage solution with steps:
Step 1: We make the assumption that 80 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\%}={80}.
Step 4: In the same vein, {x\%}={40}.
Step 5: This gives us a pair of simple equations:
{100\%}={80}(1).
{x\%}={40}(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{80}{40}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{40}{80}
\Rightarrow{x} = {50\%}
Therefore, {40} is {50\%} of {80}.
Solution for 80 is what percent of 40:
80:40*100 =
(80*100):40 =
8000:40 = 200
Now we have: 80 is what percent of 40 = 200
Question: 80 is what percent of 40?
Percentage solution with steps:
Step 1: We make the assumption that 40 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\%}={40}.
Step 4: In the same vein, {x\%}={80}.
Step 5: This gives us a pair of simple equations:
{100\%}={40}(1).
{x\%}={80}(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{40}{80}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{80}{40}
\Rightarrow{x} = {200\%}
Therefore, {80} is {200\%} of {40}.
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