#### Solution for 678 is what percent of 900:

678:900*100 =

(678*100):900 =

67800:900 = 75.33

Now we have: 678 is what percent of 900 = 75.33

Question: 678 is what percent of 900?

Percentage solution with steps:

Step 1: We make the assumption that 900 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\%}={900}.

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

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

{100\%}={900}(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{900}{678}

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

\frac{x\%}{100\%}=\frac{678}{900}

\Rightarrow{x} = {75.33\%}

Therefore, {678} is {75.33\%} of {900}.

#### Solution for 900 is what percent of 678:

900:678*100 =

(900*100):678 =

90000:678 = 132.74

Now we have: 900 is what percent of 678 = 132.74

Question: 900 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\%}={900}.

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

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

{x\%}={900}(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}{900}

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

\frac{x\%}{100\%}=\frac{900}{678}

\Rightarrow{x} = {132.74\%}

Therefore, {900} is {132.74\%} of {678}.

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