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Solution for 827 is what percent of 42:

827:42*100 =

(827*100):42 =

82700:42 = 1969.05

Now we have: 827 is what percent of 42 = 1969.05

Question: 827 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\%}={827}.

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

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

{x\%}={827}(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}{827}

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

\frac{x\%}{100\%}=\frac{827}{42}

\Rightarrow{x} = {1969.05\%}

Therefore, {827} is {1969.05\%} of {42}.

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Solution for 42 is what percent of 827:

42:827*100 =

(42*100):827 =

4200:827 = 5.08

Now we have: 42 is what percent of 827 = 5.08

Question: 42 is what percent of 827?

Percentage solution with steps:

Step 1: We make the assumption that 827 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\%}={827}.

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

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

{100\%}={827}(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{827}{42}

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

\frac{x\%}{100\%}=\frac{42}{827}

\Rightarrow{x} = {5.08\%}

Therefore, {42} is {5.08\%} of {827}.