#### Solution for 142 is what percent of 3310:

142:3310*100 =

(142*100):3310 =

14200:3310 = 4.29

Now we have: 142 is what percent of 3310 = 4.29

Question: 142 is what percent of 3310?

Percentage solution with steps:

Step 1: We make the assumption that 3310 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\%}={3310}.

Step 4: In the same vein, {x\%}={142}.

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

{100\%}={3310}(1).

{x\%}={142}(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{3310}{142}

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

\frac{x\%}{100\%}=\frac{142}{3310}

\Rightarrow{x} = {4.29\%}

Therefore, {142} is {4.29\%} of {3310}.

#### Solution for 3310 is what percent of 142:

3310:142*100 =

(3310*100):142 =

331000:142 = 2330.99

Now we have: 3310 is what percent of 142 = 2330.99

Question: 3310 is what percent of 142?

Percentage solution with steps:

Step 1: We make the assumption that 142 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\%}={142}.

Step 4: In the same vein, {x\%}={3310}.

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

{100\%}={142}(1).

{x\%}={3310}(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{142}{3310}

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

\frac{x\%}{100\%}=\frac{3310}{142}

\Rightarrow{x} = {2330.99\%}

Therefore, {3310} is {2330.99\%} of {142}.

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