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Solution for 853 is what percent of 42:

853:42*100 =

(853*100):42 =

85300:42 = 2030.95

Now we have: 853 is what percent of 42 = 2030.95

Question: 853 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\%}={853}.

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

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

{x\%}={853}(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}{853}

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

\frac{x\%}{100\%}=\frac{853}{42}

\Rightarrow{x} = {2030.95\%}

Therefore, {853} is {2030.95\%} of {42}.

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• 853 is what percent of 41 = 2080.49
• 853 is what percent of 42 = 2030.95
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• 853 is what percent of 100 = 853

Solution for 42 is what percent of 853:

42:853*100 =

(42*100):853 =

4200:853 = 4.92

Now we have: 42 is what percent of 853 = 4.92

Question: 42 is what percent of 853?

Percentage solution with steps:

Step 1: We make the assumption that 853 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\%}={853}.

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

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

{100\%}={853}(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{853}{42}

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

\frac{x\%}{100\%}=\frac{42}{853}

\Rightarrow{x} = {4.92\%}

Therefore, {42} is {4.92\%} of {853}.