#### Solution for 335 is what percent of 420:

335:420*100 =

(335*100):420 =

33500:420 = 79.76

Now we have: 335 is what percent of 420 = 79.76

Question: 335 is what percent of 420?

Percentage solution with steps:

Step 1: We make the assumption that 420 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\%}={420}.

Step 4: In the same vein, {x\%}={335}.

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

{100\%}={420}(1).

{x\%}={335}(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{420}{335}

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

\frac{x\%}{100\%}=\frac{335}{420}

\Rightarrow{x} = {79.76\%}

Therefore, {335} is {79.76\%} of {420}.

#### Solution for 420 is what percent of 335:

420:335*100 =

(420*100):335 =

42000:335 = 125.37

Now we have: 420 is what percent of 335 = 125.37

Question: 420 is what percent of 335?

Percentage solution with steps:

Step 1: We make the assumption that 335 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\%}={335}.

Step 4: In the same vein, {x\%}={420}.

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

{100\%}={335}(1).

{x\%}={420}(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{335}{420}

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

\frac{x\%}{100\%}=\frac{420}{335}

\Rightarrow{x} = {125.37\%}

Therefore, {420} is {125.37\%} of {335}.

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