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Solution for 352 is what percent of 42:

352:42*100 =

(352*100):42 =

35200:42 = 838.1

Now we have: 352 is what percent of 42 = 838.1

Question: 352 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\%}={352}.

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

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

{x\%}={352}(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}{352}

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

\frac{x\%}{100\%}=\frac{352}{42}

\Rightarrow{x} = {838.1\%}

Therefore, {352} is {838.1\%} of {42}.

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Solution for 42 is what percent of 352:

42:352*100 =

(42*100):352 =

4200:352 = 11.93

Now we have: 42 is what percent of 352 = 11.93

Question: 42 is what percent of 352?

Percentage solution with steps:

Step 1: We make the assumption that 352 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\%}={352}.

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

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

{100\%}={352}(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{352}{42}

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

\frac{x\%}{100\%}=\frac{42}{352}

\Rightarrow{x} = {11.93\%}

Therefore, {42} is {11.93\%} of {352}.