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Solution for 116.25 is what percent of 150:

116.25:150*100 =

(116.25*100):150 =

11625:150 = 77.5

Now we have: 116.25 is what percent of 150 = 77.5

Question: 116.25 is what percent of 150?

Percentage solution with steps:

Step 1: We make the assumption that 150 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\%}={150}.

Step 4: In the same vein, {x\%}={116.25}.

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

{100\%}={150}(1).

{x\%}={116.25}(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{150}{116.25}

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

\frac{x\%}{100\%}=\frac{116.25}{150}

\Rightarrow{x} = {77.5\%}

Therefore, {116.25} is {77.5\%} of {150}.

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• 116.25 is what percent of 100 = 116.25

Solution for 150 is what percent of 116.25:

150:116.25*100 =

(150*100):116.25 =

15000:116.25 = 129.03225806452

Now we have: 150 is what percent of 116.25 = 129.03225806452

Question: 150 is what percent of 116.25?

Percentage solution with steps:

Step 1: We make the assumption that 116.25 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\%}={116.25}.

Step 4: In the same vein, {x\%}={150}.

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

{100\%}={116.25}(1).

{x\%}={150}(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{116.25}{150}

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

\frac{x\%}{100\%}=\frac{150}{116.25}

\Rightarrow{x} = {129.03225806452\%}

Therefore, {150} is {129.03225806452\%} of {116.25}.