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Solution for 243 is what percent of 42:

243:42*100 =

(243*100):42 =

24300:42 = 578.57

Now we have: 243 is what percent of 42 = 578.57

Question: 243 is what percent of 42?

Percentage solution with steps:

Step 1: We make the assumption that 42 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\%}={42}.

Step 4: In the same vein, {x\%}={243}.

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

{100\%}={42}(1).

{x\%}={243}(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{42}{243}

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

\frac{x\%}{100\%}=\frac{243}{42}

\Rightarrow{x} = {578.57\%}

Therefore, {243} is {578.57\%} of {42}.

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Solution for 42 is what percent of 243:

42:243*100 =

(42*100):243 =

4200:243 = 17.28

Now we have: 42 is what percent of 243 = 17.28

Question: 42 is what percent of 243?

Percentage solution with steps:

Step 1: We make the assumption that 243 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\%}={243}.

Step 4: In the same vein, {x\%}={42}.

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

{100\%}={243}(1).

{x\%}={42}(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{243}{42}

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

\frac{x\%}{100\%}=\frac{42}{243}

\Rightarrow{x} = {17.28\%}

Therefore, {42} is {17.28\%} of {243}.