Solution for 7 is what percent of 40:
7: 40*100 =
(7*100): 40 =
700: 40 = 17.5
Now we have: 7 is what percent of 40 = 17.5
Question: 7 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\%}={7}.
Step 5: This gives us a pair of simple equations:
{100\%}={ 40}(1).
{x\%}={7}(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}{7}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{7}{ 40}
\Rightarrow{x} = {17.5\%}
Therefore, {7} is {17.5\%} of { 40}.
Solution for 40 is what percent of 7:
40:7*100 =
( 40*100):7 =
4000:7 = 571.43
Now we have: 40 is what percent of 7 = 571.43
Question: 40 is what percent of 7?
Percentage solution with steps:
Step 1: We make the assumption that 7 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\%}={7}.
Step 4: In the same vein, {x\%}={ 40}.
Step 5: This gives us a pair of simple equations:
{100\%}={7}(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{7}{ 40}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{ 40}{7}
\Rightarrow{x} = {571.43\%}
Therefore, { 40} is {571.43\%} of {7}.
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