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Solution for 5200 is what percent of 42:

5200:42*100 =

(5200*100):42 =

520000:42 = 12380.95

Now we have: 5200 is what percent of 42 = 12380.95

Question: 5200 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\%}={5200}.

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

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

{x\%}={5200}(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}{5200}

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

\frac{x\%}{100\%}=\frac{5200}{42}

\Rightarrow{x} = {12380.95\%}

Therefore, {5200} is {12380.95\%} of {42}.

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Solution for 42 is what percent of 5200:

42:5200*100 =

(42*100):5200 =

4200:5200 = 0.81

Now we have: 42 is what percent of 5200 = 0.81

Question: 42 is what percent of 5200?

Percentage solution with steps:

Step 1: We make the assumption that 5200 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\%}={5200}.

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

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

{100\%}={5200}(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{5200}{42}

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

\frac{x\%}{100\%}=\frac{42}{5200}

\Rightarrow{x} = {0.81\%}

Therefore, {42} is {0.81\%} of {5200}.