#### Solution for 75 is what percent of 678:

75:678*100 =

(75*100):678 =

7500:678 = 11.06

Now we have: 75 is what percent of 678 = 11.06

Question: 75 is what percent of 678?

Percentage solution with steps:

Step 1: We make the assumption that 678 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\%}={678}.

Step 4: In the same vein, {x\%}={75}.

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

{100\%}={678}(1).

{x\%}={75}(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{678}{75}

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

\frac{x\%}{100\%}=\frac{75}{678}

\Rightarrow{x} = {11.06\%}

Therefore, {75} is {11.06\%} of {678}.

#### Solution for 678 is what percent of 75:

678:75*100 =

(678*100):75 =

67800:75 = 904

Now we have: 678 is what percent of 75 = 904

Question: 678 is what percent of 75?

Percentage solution with steps:

Step 1: We make the assumption that 75 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\%}={75}.

Step 4: In the same vein, {x\%}={678}.

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

{100\%}={75}(1).

{x\%}={678}(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{75}{678}

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

\frac{x\%}{100\%}=\frac{678}{75}

\Rightarrow{x} = {904\%}

Therefore, {678} is {904\%} of {75}.

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