Solution for 31 is what percent of 30:
31: 30*100 =
(31*100): 30 =
3100: 30 = 103.33
Now we have: 31 is what percent of 30 = 103.33
Question: 31 is what percent of 30?
Percentage solution with steps:
Step 1: We make the assumption that 30 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\%}={ 30}.
Step 4: In the same vein, {x\%}={31}.
Step 5: This gives us a pair of simple equations:
{100\%}={ 30}(1).
{x\%}={31}(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{ 30}{31}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{31}{ 30}
\Rightarrow{x} = {103.33\%}
Therefore, {31} is {103.33\%} of { 30}.
Solution for 30 is what percent of 31:
30:31*100 =
( 30*100):31 =
3000:31 = 96.77
Now we have: 30 is what percent of 31 = 96.77
Question: 30 is what percent of 31?
Percentage solution with steps:
Step 1: We make the assumption that 31 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\%}={31}.
Step 4: In the same vein, {x\%}={ 30}.
Step 5: This gives us a pair of simple equations:
{100\%}={31}(1).
{x\%}={ 30}(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{31}{ 30}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{ 30}{31}
\Rightarrow{x} = {96.77\%}
Therefore, { 30} is {96.77\%} of {31}.
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