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Solution for 78 is what percent of 67:

78:67*100 =

(78*100):67 =

7800:67 = 116.42

Now we have: 78 is what percent of 67 = 116.42

Question: 78 is what percent of 67?

Percentage solution with steps:

Step 1: We make the assumption that 67 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\%}={67}.

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

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

{100\%}={67}(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{67}{78}

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

\frac{x\%}{100\%}=\frac{78}{67}

\Rightarrow{x} = {116.42\%}

Therefore, {78} is {116.42\%} of {67}.

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Solution for 67 is what percent of 78:

67:78*100 =

(67*100):78 =

6700:78 = 85.9

Now we have: 67 is what percent of 78 = 85.9

Question: 67 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\%}={67}.

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

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

{x\%}={67}(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}{67}

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

\frac{x\%}{100\%}=\frac{67}{78}

\Rightarrow{x} = {85.9\%}

Therefore, {67} is {85.9\%} of {78}.