#### Solution for 78 is what percent of 1064:

78:1064*100 =

(78*100):1064 =

7800:1064 = 7.33

Now we have: 78 is what percent of 1064 = 7.33

Question: 78 is what percent of 1064?

Percentage solution with steps:

Step 1: We make the assumption that 1064 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\%}={1064}.

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

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

{100\%}={1064}(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{1064}{78}

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

\frac{x\%}{100\%}=\frac{78}{1064}

\Rightarrow{x} = {7.33\%}

Therefore, {78} is {7.33\%} of {1064}.

#### Solution for 1064 is what percent of 78:

1064:78*100 =

(1064*100):78 =

106400:78 = 1364.1

Now we have: 1064 is what percent of 78 = 1364.1

Question: 1064 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\%}={1064}.

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

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

{x\%}={1064}(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}{1064}

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

\frac{x\%}{100\%}=\frac{1064}{78}

\Rightarrow{x} = {1364.1\%}

Therefore, {1064} is {1364.1\%} of {78}.

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