#### Solution for 1.2 is what percent of 90:

1.2:90*100 =

( 1.2*100):90 =

120:90 = 1.3333333333333

Now we have: 1.2 is what percent of 90 = 1.3333333333333

Question: 1.2 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\%}={ 1.2}.

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

{100\%}={90}(1).

{x\%}={ 1.2}(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}{ 1.2}

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

\frac{x\%}{100\%}=\frac{ 1.2}{90}

\Rightarrow{x} = {1.3333333333333\%}

Therefore, { 1.2} is {1.3333333333333\%} of {90}.

#### Solution for 90 is what percent of 1.2:

90: 1.2*100 =

(90*100): 1.2 =

9000: 1.2 = 7500

Now we have: 90 is what percent of 1.2 = 7500

Question: 90 is what percent of 1.2?

Percentage solution with steps:

Step 1: We make the assumption that 1.2 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\%}={ 1.2}.

Step 4: In the same vein, {x\%}={90}.

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

{100\%}={ 1.2}(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{ 1.2}{90}

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

\frac{x\%}{100\%}=\frac{90}{ 1.2}

\Rightarrow{x} = {7500\%}

Therefore, {90} is {7500\%} of { 1.2}.

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