#### Solution for 320 is what percent of 407:

320:407*100 =

(320*100):407 =

32000:407 = 78.62

Now we have: 320 is what percent of 407 = 78.62

Question: 320 is what percent of 407?

Percentage solution with steps:

Step 1: We make the assumption that 407 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\%}={407}.

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

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

{100\%}={407}(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{407}{320}

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

\frac{x\%}{100\%}=\frac{320}{407}

\Rightarrow{x} = {78.62\%}

Therefore, {320} is {78.62\%} of {407}.

#### Solution for 407 is what percent of 320:

407:320*100 =

(407*100):320 =

40700:320 = 127.19

Now we have: 407 is what percent of 320 = 127.19

Question: 407 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\%}={407}.

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

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

{x\%}={407}(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}{407}

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

\frac{x\%}{100\%}=\frac{407}{320}

\Rightarrow{x} = {127.19\%}

Therefore, {407} is {127.19\%} of {320}.

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