Percentage Calculator: 3 is what percent of 90? = 3.33

Solution for 3 is what percent of 90:

3:90*100 =

( 3*100):90 =

300:90 = 3.33

Now we have: 3 is what percent of 90 = 3.33

Question: 3 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\%}={ 3}.

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

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

{x\%}={ 3}(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}{ 3}

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

\frac{x\%}{100\%}=\frac{ 3}{90}

\Rightarrow{x} = {3.33\%}

Therefore, { 3} is {3.33\%} of {90}.

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Solution for 90 is what percent of 3:

90: 3*100 =

(90*100): 3 =

9000: 3 = 3000

Now we have: 90 is what percent of 3 = 3000

Question: 90 is what percent of 3?

Percentage solution with steps:

Step 1: We make the assumption that 3 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\%}={ 3}.

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

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

{100\%}={ 3}(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{ 3}{90}

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

\frac{x\%}{100\%}=\frac{90}{ 3}

\Rightarrow{x} = {3000\%}

Therefore, {90} is {3000\%} of { 3}.

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