#### Solution for 17.40 is what percent of 116:

17.40:116*100 =

(17.40*100):116 =

1740:116 = 15

Now we have: 17.40 is what percent of 116 = 15

Question: 17.40 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\%}={17.40}.

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

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

{x\%}={17.40}(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}{17.40}

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

\frac{x\%}{100\%}=\frac{17.40}{116}

\Rightarrow{x} = {15\%}

Therefore, {17.40} is {15\%} of {116}.

#### Solution for 116 is what percent of 17.40:

116:17.40*100 =

(116*100):17.40 =

11600:17.40 = 666.66666666667

Now we have: 116 is what percent of 17.40 = 666.66666666667

Question: 116 is what percent of 17.40?

Percentage solution with steps:

Step 1: We make the assumption that 17.40 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\%}={17.40}.

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

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

{100\%}={17.40}(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{17.40}{116}

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

\frac{x\%}{100\%}=\frac{116}{17.40}

\Rightarrow{x} = {666.66666666667\%}

Therefore, {116} is {666.66666666667\%} of {17.40}.

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