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Solution for 164 is what percent of 31:

164:31*100 =

(164*100):31 =

16400:31 = 529.03

Now we have: 164 is what percent of 31 = 529.03

Question: 164 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\%}={164}.

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

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

{x\%}={164}(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}{164}

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

\frac{x\%}{100\%}=\frac{164}{31}

\Rightarrow{x} = {529.03\%}

Therefore, {164} is {529.03\%} of {31}.

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Solution for 31 is what percent of 164:

31:164*100 =

(31*100):164 =

3100:164 = 18.9

Now we have: 31 is what percent of 164 = 18.9

Question: 31 is what percent of 164?

Percentage solution with steps:

Step 1: We make the assumption that 164 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\%}={164}.

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

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

{100\%}={164}(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{164}{31}

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

\frac{x\%}{100\%}=\frac{31}{164}

\Rightarrow{x} = {18.9\%}

Therefore, {31} is {18.9\%} of {164}.