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Solution for 5 is what percent of 78:

5:78*100 =

( 5*100):78 =

500:78 = 6.41

Now we have: 5 is what percent of 78 = 6.41

Question: 5 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\%}={ 5}.

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

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

{x\%}={ 5}(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}{ 5}

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

\frac{x\%}{100\%}=\frac{ 5}{78}

\Rightarrow{x} = {6.41\%}

Therefore, { 5} is {6.41\%} of {78}.

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Solution for 78 is what percent of 5:

78: 5*100 =

(78*100): 5 =

7800: 5 = 1560

Now we have: 78 is what percent of 5 = 1560

Question: 78 is what percent of 5?

Percentage solution with steps:

Step 1: We make the assumption that 5 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\%}={ 5}.

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

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

{100\%}={ 5}(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{ 5}{78}

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

\frac{x\%}{100\%}=\frac{78}{ 5}

\Rightarrow{x} = {1560\%}

Therefore, {78} is {1560\%} of { 5}.