#### Solution for 420 is what percent of 7000:

420:7000*100 =

(420*100):7000 =

42000:7000 = 6

Now we have: 420 is what percent of 7000 = 6

Question: 420 is what percent of 7000?

Percentage solution with steps:

Step 1: We make the assumption that 7000 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\%}={7000}.

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

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

{100\%}={7000}(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{7000}{420}

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

\frac{x\%}{100\%}=\frac{420}{7000}

\Rightarrow{x} = {6\%}

Therefore, {420} is {6\%} of {7000}.

#### Solution for 7000 is what percent of 420:

7000:420*100 =

(7000*100):420 =

700000:420 = 1666.67

Now we have: 7000 is what percent of 420 = 1666.67

Question: 7000 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\%}={7000}.

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

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

{x\%}={7000}(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}{7000}

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

\frac{x\%}{100\%}=\frac{7000}{420}

\Rightarrow{x} = {1666.67\%}

Therefore, {7000} is {1666.67\%} of {420}.

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