#### Solution for 390 is what percent of 840:

390:840*100 =

(390*100):840 =

39000:840 = 46.43

Now we have: 390 is what percent of 840 = 46.43

Question: 390 is what percent of 840?

Percentage solution with steps:

Step 1: We make the assumption that 840 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\%}={840}.

Step 4: In the same vein, {x\%}={390}.

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

{100\%}={840}(1).

{x\%}={390}(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{840}{390}

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

\frac{x\%}{100\%}=\frac{390}{840}

\Rightarrow{x} = {46.43\%}

Therefore, {390} is {46.43\%} of {840}.

#### Solution for 840 is what percent of 390:

840:390*100 =

(840*100):390 =

84000:390 = 215.38

Now we have: 840 is what percent of 390 = 215.38

Question: 840 is what percent of 390?

Percentage solution with steps:

Step 1: We make the assumption that 390 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\%}={390}.

Step 4: In the same vein, {x\%}={840}.

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

{100\%}={390}(1).

{x\%}={840}(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{390}{840}

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

\frac{x\%}{100\%}=\frac{840}{390}

\Rightarrow{x} = {215.38\%}

Therefore, {840} is {215.38\%} of {390}.

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