#### Solution for 13.7 is what percent of 2:

13.7:2*100 =

(13.7*100):2 =

1370:2 = 685

Now we have: 13.7 is what percent of 2 = 685

Question: 13.7 is what percent of 2?

Percentage solution with steps:

Step 1: We make the assumption that 2 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}.

Step 4: In the same vein, {x\%}={13.7}.

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

{100\%}={2}(1).

{x\%}={13.7}(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}{13.7}

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

\frac{x\%}{100\%}=\frac{13.7}{2}

\Rightarrow{x} = {685\%}

Therefore, {13.7} is {685\%} of {2}.

#### Solution for 2 is what percent of 13.7:

2:13.7*100 =

(2*100):13.7 =

200:13.7 = 14.598540145985

Now we have: 2 is what percent of 13.7 = 14.598540145985

Question: 2 is what percent of 13.7?

Percentage solution with steps:

Step 1: We make the assumption that 13.7 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\%}={13.7}.

Step 4: In the same vein, {x\%}={2}.

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

{100\%}={13.7}(1).

{x\%}={2}(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{13.7}{2}

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

\frac{x\%}{100\%}=\frac{2}{13.7}

\Rightarrow{x} = {14.598540145985\%}

Therefore, {2} is {14.598540145985\%} of {13.7}.

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