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Solution for 311 is what percent of 78:

311:78*100 =

(311*100):78 =

31100:78 = 398.72

Now we have: 311 is what percent of 78 = 398.72

Question: 311 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\%}={311}.

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

{100\%}={78}(1).

{x\%}={311}(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}{311}

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

\frac{x\%}{100\%}=\frac{311}{78}

\Rightarrow{x} = {398.72\%}

Therefore, {311} is {398.72\%} of {78}.

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Solution for 78 is what percent of 311:

78:311*100 =

(78*100):311 =

7800:311 = 25.08

Now we have: 78 is what percent of 311 = 25.08

Question: 78 is what percent of 311?

Percentage solution with steps:

Step 1: We make the assumption that 311 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\%}={311}.

Step 4: In the same vein, {x\%}={78}.

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

{100\%}={311}(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{311}{78}

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

\frac{x\%}{100\%}=\frac{78}{311}

\Rightarrow{x} = {25.08\%}

Therefore, {78} is {25.08\%} of {311}.