#### Solution for 320 is what percent of 426:

320:426*100 =

(320*100):426 =

32000:426 = 75.12

Now we have: 320 is what percent of 426 = 75.12

Question: 320 is what percent of 426?

Percentage solution with steps:

Step 1: We make the assumption that 426 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\%}={426}.

Step 4: In the same vein, {x\%}={320}.

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

{100\%}={426}(1).

{x\%}={320}(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{426}{320}

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

\frac{x\%}{100\%}=\frac{320}{426}

\Rightarrow{x} = {75.12\%}

Therefore, {320} is {75.12\%} of {426}.

#### Solution for 426 is what percent of 320:

426:320*100 =

(426*100):320 =

42600:320 = 133.13

Now we have: 426 is what percent of 320 = 133.13

Question: 426 is what percent of 320?

Percentage solution with steps:

Step 1: We make the assumption that 320 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\%}={320}.

Step 4: In the same vein, {x\%}={426}.

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

{100\%}={320}(1).

{x\%}={426}(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{320}{426}

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

\frac{x\%}{100\%}=\frac{426}{320}

\Rightarrow{x} = {133.13\%}

Therefore, {426} is {133.13\%} of {320}.

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