#### Solution for 90 is what percent of 150:

90: 150*100 =

(90*100): 150 =

9000: 150 = 60

Now we have: 90 is what percent of 150 = 60

Question: 90 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\%}={90}.

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

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

{x\%}={90}(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}{90}

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

\frac{x\%}{100\%}=\frac{90}{ 150}

\Rightarrow{x} = {60\%}

Therefore, {90} is {60\%} of { 150}.

#### Solution for 150 is what percent of 90:

150:90*100 =

( 150*100):90 =

15000:90 = 166.67

Now we have: 150 is what percent of 90 = 166.67

Question: 150 is what percent of 90?

Percentage solution with steps:

Step 1: We make the assumption that 90 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\%}={90}.

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

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

{100\%}={90}(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{90}{ 150}

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

\frac{x\%}{100\%}=\frac{ 150}{90}

\Rightarrow{x} = {166.67\%}

Therefore, { 150} is {166.67\%} of {90}.

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