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Solution for 965 is what percent of 42:

965:42*100 =

(965*100):42 =

96500:42 = 2297.62

Now we have: 965 is what percent of 42 = 2297.62

Question: 965 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\%}={965}.

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

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

{x\%}={965}(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}{965}

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

\frac{x\%}{100\%}=\frac{965}{42}

\Rightarrow{x} = {2297.62\%}

Therefore, {965} is {2297.62\%} of {42}.

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• 965 is what percent of 100 = 965

Solution for 42 is what percent of 965:

42:965*100 =

(42*100):965 =

4200:965 = 4.35

Now we have: 42 is what percent of 965 = 4.35

Question: 42 is what percent of 965?

Percentage solution with steps:

Step 1: We make the assumption that 965 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\%}={965}.

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

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

{100\%}={965}(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{965}{42}

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

\frac{x\%}{100\%}=\frac{42}{965}

\Rightarrow{x} = {4.35\%}

Therefore, {42} is {4.35\%} of {965}.