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Solution for 800 is what percent of 42:

800:42*100 =

(800*100):42 =

80000:42 = 1904.76

Now we have: 800 is what percent of 42 = 1904.76

Question: 800 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\%}={800}.

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

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

{x\%}={800}(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}{800}

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

\frac{x\%}{100\%}=\frac{800}{42}

\Rightarrow{x} = {1904.76\%}

Therefore, {800} is {1904.76\%} of {42}.

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Solution for 42 is what percent of 800:

42:800*100 =

(42*100):800 =

4200:800 = 5.25

Now we have: 42 is what percent of 800 = 5.25

Question: 42 is what percent of 800?

Percentage solution with steps:

Step 1: We make the assumption that 800 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\%}={800}.

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

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

{100\%}={800}(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{800}{42}

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

\frac{x\%}{100\%}=\frac{42}{800}

\Rightarrow{x} = {5.25\%}

Therefore, {42} is {5.25\%} of {800}.