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Solution for 54 is what percent of 116:

54:116*100 =

(54*100):116 =

5400:116 = 46.55

Now we have: 54 is what percent of 116 = 46.55

Question: 54 is what percent of 116?

Percentage solution with steps:

Step 1: We make the assumption that 116 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\%}={116}.

Step 4: In the same vein, {x\%}={54}.

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

{100\%}={116}(1).

{x\%}={54}(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{116}{54}

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

\frac{x\%}{100\%}=\frac{54}{116}

\Rightarrow{x} = {46.55\%}

Therefore, {54} is {46.55\%} of {116}.

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Solution for 116 is what percent of 54:

116:54*100 =

(116*100):54 =

11600:54 = 214.81

Now we have: 116 is what percent of 54 = 214.81

Question: 116 is what percent of 54?

Percentage solution with steps:

Step 1: We make the assumption that 54 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\%}={54}.

Step 4: In the same vein, {x\%}={116}.

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

{100\%}={54}(1).

{x\%}={116}(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{54}{116}

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

\frac{x\%}{100\%}=\frac{116}{54}

\Rightarrow{x} = {214.81\%}

Therefore, {116} is {214.81\%} of {54}.