#### Solution for 66 is what percent of 115:

66:115*100 =

(66*100):115 =

6600:115 = 57.39

Now we have: 66 is what percent of 115 = 57.39

Question: 66 is what percent of 115?

Percentage solution with steps:

Step 1: We make the assumption that 115 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\%}={115}.

Step 4: In the same vein, {x\%}={66}.

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

{100\%}={115}(1).

{x\%}={66}(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{115}{66}

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

\frac{x\%}{100\%}=\frac{66}{115}

\Rightarrow{x} = {57.39\%}

Therefore, {66} is {57.39\%} of {115}.

#### Solution for 115 is what percent of 66:

115:66*100 =

(115*100):66 =

11500:66 = 174.24

Now we have: 115 is what percent of 66 = 174.24

Question: 115 is what percent of 66?

Percentage solution with steps:

Step 1: We make the assumption that 66 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\%}={66}.

Step 4: In the same vein, {x\%}={115}.

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

{100\%}={66}(1).

{x\%}={115}(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{66}{115}

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

\frac{x\%}{100\%}=\frac{115}{66}

\Rightarrow{x} = {174.24\%}

Therefore, {115} is {174.24\%} of {66}.

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