#### Solution for 126 is what percent of 72:

126:72*100 =

(126*100):72 =

12600:72 = 175

Now we have: 126 is what percent of 72 = 175

Question: 126 is what percent of 72?

Percentage solution with steps:

Step 1: We make the assumption that 72 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\%}={72}.

Step 4: In the same vein, {x\%}={126}.

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

{100\%}={72}(1).

{x\%}={126}(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{72}{126}

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

\frac{x\%}{100\%}=\frac{126}{72}

\Rightarrow{x} = {175\%}

Therefore, {126} is {175\%} of {72}.

#### Solution for 72 is what percent of 126:

72:126*100 =

(72*100):126 =

7200:126 = 57.14

Now we have: 72 is what percent of 126 = 57.14

Question: 72 is what percent of 126?

Percentage solution with steps:

Step 1: We make the assumption that 126 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\%}={126}.

Step 4: In the same vein, {x\%}={72}.

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

{100\%}={126}(1).

{x\%}={72}(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{126}{72}

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

\frac{x\%}{100\%}=\frac{72}{126}

\Rightarrow{x} = {57.14\%}

Therefore, {72} is {57.14\%} of {126}.

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