Percentage Calculator: 420 is what percent of 42? = 1000

Solution for 420 is what percent of 42:

420:42*100 =

(420*100):42 =

42000:42 = 1000

Now we have: 420 is what percent of 42 = 1000

Question: 420 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\%}={420}.

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

{100\%}={42}(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{42}{420}

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

\frac{x\%}{100\%}=\frac{420}{42}

\Rightarrow{x} = {1000\%}

Therefore, {420} is {1000\%} of {42}.

What Percent Of Table For 420

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Solution for 42 is what percent of 420:

42:420*100 =

(42*100):420 =

4200:420 = 10

Now we have: 42 is what percent of 420 = 10

Question: 42 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\%}={42}.

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

{100\%}={420}(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{420}{42}

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

\frac{x\%}{100\%}=\frac{42}{420}

\Rightarrow{x} = {10\%}

Therefore, {42} is {10\%} of {420}.

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