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Solution for 42 is what percent of 1152:

42:1152*100 =

(42*100):1152 =

4200:1152 = 3.65

Now we have: 42 is what percent of 1152 = 3.65

Question: 42 is what percent of 1152?

Percentage solution with steps:

Step 1: We make the assumption that 1152 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\%}={1152}.

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

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

{100\%}={1152}(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{1152}{42}

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

\frac{x\%}{100\%}=\frac{42}{1152}

\Rightarrow{x} = {3.65\%}

Therefore, {42} is {3.65\%} of {1152}.

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Solution for 1152 is what percent of 42:

1152:42*100 =

(1152*100):42 =

115200:42 = 2742.86

Now we have: 1152 is what percent of 42 = 2742.86

Question: 1152 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\%}={1152}.

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

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

{x\%}={1152}(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}{1152}

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

\frac{x\%}{100\%}=\frac{1152}{42}

\Rightarrow{x} = {2742.86\%}

Therefore, {1152} is {2742.86\%} of {42}.