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Solution for 117 is what percent of 180:

117:180*100 =

(117*100):180 =

11700:180 = 65

Now we have: 117 is what percent of 180 = 65

Question: 117 is what percent of 180?

Percentage solution with steps:

Step 1: We make the assumption that 180 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\%}={180}.

Step 4: In the same vein, {x\%}={117}.

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

{100\%}={180}(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{180}{117}

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

\frac{x\%}{100\%}=\frac{117}{180}

\Rightarrow{x} = {65\%}

Therefore, {117} is {65\%} of {180}.

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Solution for 180 is what percent of 117:

180:117*100 =

(180*100):117 =

18000:117 = 153.85

Now we have: 180 is what percent of 117 = 153.85

Question: 180 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\%}={180}.

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

{100\%}={117}(1).

{x\%}={180}(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}{180}

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

\frac{x\%}{100\%}=\frac{180}{117}

\Rightarrow{x} = {153.85\%}

Therefore, {180} is {153.85\%} of {117}.