#### Solution for 90 is what percent of 1350:

90:1350*100 =

(90*100):1350 =

9000:1350 = 6.67

Now we have: 90 is what percent of 1350 = 6.67

Question: 90 is what percent of 1350?

Percentage solution with steps:

Step 1: We make the assumption that 1350 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\%}={1350}.

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

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

{100\%}={1350}(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{1350}{90}

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

\frac{x\%}{100\%}=\frac{90}{1350}

\Rightarrow{x} = {6.67\%}

Therefore, {90} is {6.67\%} of {1350}.

#### Solution for 1350 is what percent of 90:

1350:90*100 =

(1350*100):90 =

135000:90 = 1500

Now we have: 1350 is what percent of 90 = 1500

Question: 1350 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\%}={1350}.

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

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

{x\%}={1350}(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}{1350}

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

\frac{x\%}{100\%}=\frac{1350}{90}

\Rightarrow{x} = {1500\%}

Therefore, {1350} is {1500\%} of {90}.

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