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Solution for 142.5 is what percent of 76:

142.5:76*100 =

(142.5*100):76 =

14250:76 = 187.5

Now we have: 142.5 is what percent of 76 = 187.5

Question: 142.5 is what percent of 76?

Percentage solution with steps:

Step 1: We make the assumption that 76 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\%}={76}.

Step 4: In the same vein, {x\%}={142.5}.

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

{100\%}={76}(1).

{x\%}={142.5}(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{76}{142.5}

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

\frac{x\%}{100\%}=\frac{142.5}{76}

\Rightarrow{x} = {187.5\%}

Therefore, {142.5} is {187.5\%} of {76}.

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• 142.5 is what percent of 100 = 142.5

Solution for 76 is what percent of 142.5:

76:142.5*100 =

(76*100):142.5 =

7600:142.5 = 53.333333333333

Now we have: 76 is what percent of 142.5 = 53.333333333333

Question: 76 is what percent of 142.5?

Percentage solution with steps:

Step 1: We make the assumption that 142.5 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\%}={142.5}.

Step 4: In the same vein, {x\%}={76}.

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

{100\%}={142.5}(1).

{x\%}={76}(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{142.5}{76}

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

\frac{x\%}{100\%}=\frac{76}{142.5}

\Rightarrow{x} = {53.333333333333\%}

Therefore, {76} is {53.333333333333\%} of {142.5}.