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Solution for 42 is what percent of 972:

42:972*100 =

(42*100):972 =

4200:972 = 4.32

Now we have: 42 is what percent of 972 = 4.32

Question: 42 is what percent of 972?

Percentage solution with steps:

Step 1: We make the assumption that 972 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\%}={972}.

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

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

{100\%}={972}(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{972}{42}

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

\frac{x\%}{100\%}=\frac{42}{972}

\Rightarrow{x} = {4.32\%}

Therefore, {42} is {4.32\%} of {972}.

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Solution for 972 is what percent of 42:

972:42*100 =

(972*100):42 =

97200:42 = 2314.29

Now we have: 972 is what percent of 42 = 2314.29

Question: 972 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\%}={972}.

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

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

{x\%}={972}(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}{972}

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

\frac{x\%}{100\%}=\frac{972}{42}

\Rightarrow{x} = {2314.29\%}

Therefore, {972} is {2314.29\%} of {42}.