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Solution for 1538 is what percent of 90:

1538:90*100 =

(1538*100):90 =

153800:90 = 1708.89

Now we have: 1538 is what percent of 90 = 1708.89

Question: 1538 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\%}={1538}.

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

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

{x\%}={1538}(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}{1538}

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

\frac{x\%}{100\%}=\frac{1538}{90}

\Rightarrow{x} = {1708.89\%}

Therefore, {1538} is {1708.89\%} of {90}.

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• 1538 is what percent of 100 = 1538

Solution for 90 is what percent of 1538:

90:1538*100 =

(90*100):1538 =

9000:1538 = 5.85

Now we have: 90 is what percent of 1538 = 5.85

Question: 90 is what percent of 1538?

Percentage solution with steps:

Step 1: We make the assumption that 1538 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\%}={1538}.

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

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

{100\%}={1538}(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{1538}{90}

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

\frac{x\%}{100\%}=\frac{90}{1538}

\Rightarrow{x} = {5.85\%}

Therefore, {90} is {5.85\%} of {1538}.