#### Solution for 7.1 is what percent of 12.6:

7.1:12.6*100 =

(7.1*100):12.6 =

710:12.6 = 56.349206349206

Now we have: 7.1 is what percent of 12.6 = 56.349206349206

Question: 7.1 is what percent of 12.6?

Percentage solution with steps:

Step 1: We make the assumption that 12.6 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\%}={12.6}.

Step 4: In the same vein, {x\%}={7.1}.

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

{100\%}={12.6}(1).

{x\%}={7.1}(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{12.6}{7.1}

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

\frac{x\%}{100\%}=\frac{7.1}{12.6}

\Rightarrow{x} = {56.349206349206\%}

Therefore, {7.1} is {56.349206349206\%} of {12.6}.

#### Solution for 12.6 is what percent of 7.1:

12.6:7.1*100 =

(12.6*100):7.1 =

1260:7.1 = 177.46478873239

Now we have: 12.6 is what percent of 7.1 = 177.46478873239

Question: 12.6 is what percent of 7.1?

Percentage solution with steps:

Step 1: We make the assumption that 7.1 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\%}={7.1}.

Step 4: In the same vein, {x\%}={12.6}.

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

{100\%}={7.1}(1).

{x\%}={12.6}(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{7.1}{12.6}

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

\frac{x\%}{100\%}=\frac{12.6}{7.1}

\Rightarrow{x} = {177.46478873239\%}

Therefore, {12.6} is {177.46478873239\%} of {7.1}.

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