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Solution for 78 is what percent of 117:

78:117*100 =

(78*100):117 =

7800:117 = 66.67

Now we have: 78 is what percent of 117 = 66.67

Question: 78 is what percent of 117?

Percentage solution with steps:

Step 1: We make the assumption that 117 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\%}={117}.

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

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

{100\%}={117}(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{117}{78}

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

\frac{x\%}{100\%}=\frac{78}{117}

\Rightarrow{x} = {66.67\%}

Therefore, {78} is {66.67\%} of {117}.

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Solution for 117 is what percent of 78:

117:78*100 =

(117*100):78 =

11700:78 = 150

Now we have: 117 is what percent of 78 = 150

Question: 117 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\%}={117}.

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

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

{x\%}={117}(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}{117}

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

\frac{x\%}{100\%}=\frac{117}{78}

\Rightarrow{x} = {150\%}

Therefore, {117} is {150\%} of {78}.