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Solution for 6500 is what percent of 42:

6500:42*100 =

(6500*100):42 =

650000:42 = 15476.19

Now we have: 6500 is what percent of 42 = 15476.19

Question: 6500 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\%}={6500}.

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

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

{x\%}={6500}(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}{6500}

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

\frac{x\%}{100\%}=\frac{6500}{42}

\Rightarrow{x} = {15476.19\%}

Therefore, {6500} is {15476.19\%} of {42}.

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Solution for 42 is what percent of 6500:

42:6500*100 =

(42*100):6500 =

4200:6500 = 0.65

Now we have: 42 is what percent of 6500 = 0.65

Question: 42 is what percent of 6500?

Percentage solution with steps:

Step 1: We make the assumption that 6500 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\%}={6500}.

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

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

{100\%}={6500}(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{6500}{42}

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

\frac{x\%}{100\%}=\frac{42}{6500}

\Rightarrow{x} = {0.65\%}

Therefore, {42} is {0.65\%} of {6500}.