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Solution for 31 is what percent of 22:

31:22*100 =

( 31*100):22 =

3100:22 = 140.91

Now we have: 31 is what percent of 22 = 140.91

Question: 31 is what percent of 22?

Percentage solution with steps:

Step 1: We make the assumption that 22 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\%}={22}.

Step 4: In the same vein, {x\%}={ 31}.

Step 5: This gives us a pair of simple equations:

{100\%}={22}(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{22}{ 31}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{ 31}{22}

\Rightarrow{x} = {140.91\%}

Therefore, { 31} is {140.91\%} of {22}.

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Solution for 22 is what percent of 31:

22: 31*100 =

(22*100): 31 =

2200: 31 = 70.97

Now we have: 22 is what percent of 31 = 70.97

Question: 22 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\%}={22}.

Step 5: This gives us a pair of simple equations:

{100\%}={ 31}(1).

{x\%}={22}(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}{22}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{22}{ 31}

\Rightarrow{x} = {70.97\%}

Therefore, {22} is {70.97\%} of { 31}.