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Solution for 380 is what percent of 78:

380:78*100 =

(380*100):78 =

38000:78 = 487.18

Now we have: 380 is what percent of 78 = 487.18

Question: 380 is what percent of 78?

Percentage solution with steps:

Step 1: We make the assumption that 78 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\%}={78}.

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

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

{100\%}={78}(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{78}{380}

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

\frac{x\%}{100\%}=\frac{380}{78}

\Rightarrow{x} = {487.18\%}

Therefore, {380} is {487.18\%} of {78}.

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• 380 is what percent of 20 = 1900
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Solution for 78 is what percent of 380:

78:380*100 =

(78*100):380 =

7800:380 = 20.53

Now we have: 78 is what percent of 380 = 20.53

Question: 78 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\%}={78}.

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

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

{x\%}={78}(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}{78}

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

\frac{x\%}{100\%}=\frac{78}{380}

\Rightarrow{x} = {20.53\%}

Therefore, {78} is {20.53\%} of {380}.