#### Solution for 13.90 is what percent of 309:

13.90:309*100 =

(13.90*100):309 =

1390:309 = 4.4983818770227

Now we have: 13.90 is what percent of 309 = 4.4983818770227

Question: 13.90 is what percent of 309?

Percentage solution with steps:

Step 1: We make the assumption that 309 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\%}={309}.

Step 4: In the same vein, {x\%}={13.90}.

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

{100\%}={309}(1).

{x\%}={13.90}(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{309}{13.90}

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

\frac{x\%}{100\%}=\frac{13.90}{309}

\Rightarrow{x} = {4.4983818770227\%}

Therefore, {13.90} is {4.4983818770227\%} of {309}.

#### Solution for 309 is what percent of 13.90:

309:13.90*100 =

(309*100):13.90 =

30900:13.90 = 2223.0215827338

Now we have: 309 is what percent of 13.90 = 2223.0215827338

Question: 309 is what percent of 13.90?

Percentage solution with steps:

Step 1: We make the assumption that 13.90 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\%}={13.90}.

Step 4: In the same vein, {x\%}={309}.

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

{100\%}={13.90}(1).

{x\%}={309}(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{13.90}{309}

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

\frac{x\%}{100\%}=\frac{309}{13.90}

\Rightarrow{x} = {2223.0215827338\%}

Therefore, {309} is {2223.0215827338\%} of {13.90}.

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