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Solution for 31.1 is what percent of 46:

31.1:46*100 =

(31.1*100):46 =

3110:46 = 67.608695652174

Now we have: 31.1 is what percent of 46 = 67.608695652174

Question: 31.1 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

Step 4: In the same vein, {x\%}={31.1}.

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

{100\%}={46}(1).

{x\%}={31.1}(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{46}{31.1}

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

\frac{x\%}{100\%}=\frac{31.1}{46}

\Rightarrow{x} = {67.608695652174\%}

Therefore, {31.1} is {67.608695652174\%} of {46}.

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• 31.1 is what percent of 45 = 69.11
• 31.1 is what percent of 46 = 67.61
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• 31.1 is what percent of 100 = 31.1

Solution for 46 is what percent of 31.1:

46:31.1*100 =

(46*100):31.1 =

4600:31.1 = 147.90996784566

Now we have: 46 is what percent of 31.1 = 147.90996784566

Question: 46 is what percent of 31.1?

Percentage solution with steps:

Step 1: We make the assumption that 31.1 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\%}={31.1}.

Step 4: In the same vein, {x\%}={46}.

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

{100\%}={31.1}(1).

{x\%}={46}(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{31.1}{46}

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

\frac{x\%}{100\%}=\frac{46}{31.1}

\Rightarrow{x} = {147.90996784566\%}

Therefore, {46} is {147.90996784566\%} of {31.1}.