#### Solution for 142 is what percent of 3600:

142:3600*100 =

(142*100):3600 =

14200:3600 = 3.94

Now we have: 142 is what percent of 3600 = 3.94

Question: 142 is what percent of 3600?

Percentage solution with steps:

Step 1: We make the assumption that 3600 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\%}={3600}.

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

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

{100\%}={3600}(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{3600}{142}

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

\frac{x\%}{100\%}=\frac{142}{3600}

\Rightarrow{x} = {3.94\%}

Therefore, {142} is {3.94\%} of {3600}.

#### Solution for 3600 is what percent of 142:

3600:142*100 =

(3600*100):142 =

360000:142 = 2535.21

Now we have: 3600 is what percent of 142 = 2535.21

Question: 3600 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\%}={3600}.

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

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

{x\%}={3600}(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}{3600}

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

\frac{x\%}{100\%}=\frac{3600}{142}

\Rightarrow{x} = {2535.21\%}

Therefore, {3600} is {2535.21\%} of {142}.

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