Solution for 4 is what percent of 40:
4: 40*100 =
(4*100): 40 =
400: 40 = 10
Now we have: 4 is what percent of 40 = 10
Question: 4 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\%}={4}.
Step 5: This gives us a pair of simple equations:
{100\%}={ 40}(1).
{x\%}={4}(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}{4}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{4}{ 40}
\Rightarrow{x} = {10\%}
Therefore, {4} is {10\%} of { 40}.
Solution for 40 is what percent of 4:
40:4*100 =
( 40*100):4 =
4000:4 = 1000
Now we have: 40 is what percent of 4 = 1000
Question: 40 is what percent of 4?
Percentage solution with steps:
Step 1: We make the assumption that 4 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\%}={4}.
Step 4: In the same vein, {x\%}={ 40}.
Step 5: This gives us a pair of simple equations:
{100\%}={4}(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{4}{ 40}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{ 40}{4}
\Rightarrow{x} = {1000\%}
Therefore, { 40} is {1000\%} of {4}.
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