#### Solution for 78 is what percent of 1054:

78:1054*100 =

(78*100):1054 =

7800:1054 = 7.4

Now we have: 78 is what percent of 1054 = 7.4

Question: 78 is what percent of 1054?

Percentage solution with steps:

Step 1: We make the assumption that 1054 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\%}={1054}.

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

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

{100\%}={1054}(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{1054}{78}

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

\frac{x\%}{100\%}=\frac{78}{1054}

\Rightarrow{x} = {7.4\%}

Therefore, {78} is {7.4\%} of {1054}.

#### Solution for 1054 is what percent of 78:

1054:78*100 =

(1054*100):78 =

105400:78 = 1351.28

Now we have: 1054 is what percent of 78 = 1351.28

Question: 1054 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\%}={1054}.

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

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

{x\%}={1054}(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}{1054}

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

\frac{x\%}{100\%}=\frac{1054}{78}

\Rightarrow{x} = {1351.28\%}

Therefore, {1054} is {1351.28\%} of {78}.

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