#### Solution for 150 is what percent of 274:

150:274*100 =

(150*100):274 =

15000:274 = 54.74

Now we have: 150 is what percent of 274 = 54.74

Question: 150 is what percent of 274?

Percentage solution with steps:

Step 1: We make the assumption that 274 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\%}={274}.

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

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

{100\%}={274}(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{274}{150}

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

\frac{x\%}{100\%}=\frac{150}{274}

\Rightarrow{x} = {54.74\%}

Therefore, {150} is {54.74\%} of {274}.

#### Solution for 274 is what percent of 150:

274:150*100 =

(274*100):150 =

27400:150 = 182.67

Now we have: 274 is what percent of 150 = 182.67

Question: 274 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\%}={274}.

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

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

{x\%}={274}(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}{274}

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

\frac{x\%}{100\%}=\frac{274}{150}

\Rightarrow{x} = {182.67\%}

Therefore, {274} is {182.67\%} of {150}.

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