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Solution for 380 is what percent of 77:

380:77*100 =

(380*100):77 =

38000:77 = 493.51

Now we have: 380 is what percent of 77 = 493.51

Question: 380 is what percent of 77?

Percentage solution with steps:

Step 1: We make the assumption that 77 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\%}={77}.

Step 4: In the same vein, {x\%}={380}.

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

{100\%}={77}(1).

{x\%}={380}(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{77}{380}

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

\frac{x\%}{100\%}=\frac{380}{77}

\Rightarrow{x} = {493.51\%}

Therefore, {380} is {493.51\%} of {77}.

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• 380 is what percent of 20 = 1900
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Solution for 77 is what percent of 380:

77:380*100 =

(77*100):380 =

7700:380 = 20.26

Now we have: 77 is what percent of 380 = 20.26

Question: 77 is what percent of 380?

Percentage solution with steps:

Step 1: We make the assumption that 380 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\%}={380}.

Step 4: In the same vein, {x\%}={77}.

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

{100\%}={380}(1).

{x\%}={77}(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{380}{77}

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

\frac{x\%}{100\%}=\frac{77}{380}

\Rightarrow{x} = {20.26\%}

Therefore, {77} is {20.26\%} of {380}.