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Solution for 101 is what percent of 212:

101:212*100 =

(101*100):212 =

10100:212 = 47.64

Now we have: 101 is what percent of 212 = 47.64

Question: 101 is what percent of 212?

Percentage solution with steps:

Step 1: We make the assumption that 212 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\%}={212}.

Step 4: In the same vein, {x\%}={101}.

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

{100\%}={212}(1).

{x\%}={101}(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{212}{101}

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

\frac{x\%}{100\%}=\frac{101}{212}

\Rightarrow{x} = {47.64\%}

Therefore, {101} is {47.64\%} of {212}.

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Solution for 212 is what percent of 101:

212:101*100 =

(212*100):101 =

21200:101 = 209.9

Now we have: 212 is what percent of 101 = 209.9

Question: 212 is what percent of 101?

Percentage solution with steps:

Step 1: We make the assumption that 101 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\%}={101}.

Step 4: In the same vein, {x\%}={212}.

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

{100\%}={101}(1).

{x\%}={212}(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{101}{212}

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

\frac{x\%}{100\%}=\frac{212}{101}

\Rightarrow{x} = {209.9\%}

Therefore, {212} is {209.9\%} of {101}.