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Solution for 112 is what percent of 150:

112:150*100 =

(112*100):150 =

11200:150 = 74.67

Now we have: 112 is what percent of 150 = 74.67

Question: 112 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\%}={112}.

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

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

{x\%}={112}(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}{112}

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

\frac{x\%}{100\%}=\frac{112}{150}

\Rightarrow{x} = {74.67\%}

Therefore, {112} is {74.67\%} of {150}.

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Solution for 150 is what percent of 112:

150:112*100 =

(150*100):112 =

15000:112 = 133.93

Now we have: 150 is what percent of 112 = 133.93

Question: 150 is what percent of 112?

Percentage solution with steps:

Step 1: We make the assumption that 112 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\%}={112}.

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

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

{100\%}={112}(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{112}{150}

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

\frac{x\%}{100\%}=\frac{150}{112}

\Rightarrow{x} = {133.93\%}

Therefore, {150} is {133.93\%} of {112}.