#### Solution for 155 is what percent of 150:

155: 150*100 =

(155*100): 150 =

15500: 150 = 103.33

Now we have: 155 is what percent of 150 = 103.33

Question: 155 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\%}={155}.

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

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

{x\%}={155}(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}{155}

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

\frac{x\%}{100\%}=\frac{155}{ 150}

\Rightarrow{x} = {103.33\%}

Therefore, {155} is {103.33\%} of { 150}.

#### Solution for 150 is what percent of 155:

150:155*100 =

( 150*100):155 =

15000:155 = 96.77

Now we have: 150 is what percent of 155 = 96.77

Question: 150 is what percent of 155?

Percentage solution with steps:

Step 1: We make the assumption that 155 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\%}={155}.

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

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

{100\%}={155}(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{155}{ 150}

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

\frac{x\%}{100\%}=\frac{ 150}{155}

\Rightarrow{x} = {96.77\%}

Therefore, { 150} is {96.77\%} of {155}.

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