#### Solution for 2.57 is what percent of 21.40:

2.57:21.40*100 =

(2.57*100):21.40 =

257:21.40 = 12.009345794393

Now we have: 2.57 is what percent of 21.40 = 12.009345794393

Question: 2.57 is what percent of 21.40?

Percentage solution with steps:

Step 1: We make the assumption that 21.40 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\%}={21.40}.

Step 4: In the same vein, {x\%}={2.57}.

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

{100\%}={21.40}(1).

{x\%}={2.57}(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{21.40}{2.57}

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

\frac{x\%}{100\%}=\frac{2.57}{21.40}

\Rightarrow{x} = {12.009345794393\%}

Therefore, {2.57} is {12.009345794393\%} of {21.40}.

#### Solution for 21.40 is what percent of 2.57:

21.40:2.57*100 =

(21.40*100):2.57 =

2140:2.57 = 832.68482490272

Now we have: 21.40 is what percent of 2.57 = 832.68482490272

Question: 21.40 is what percent of 2.57?

Percentage solution with steps:

Step 1: We make the assumption that 2.57 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\%}={2.57}.

Step 4: In the same vein, {x\%}={21.40}.

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

{100\%}={2.57}(1).

{x\%}={21.40}(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{2.57}{21.40}

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

\frac{x\%}{100\%}=\frac{21.40}{2.57}

\Rightarrow{x} = {832.68482490272\%}

Therefore, {21.40} is {832.68482490272\%} of {2.57}.

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