# Percentage Calculator

### 700 is what percent of 10.50?

#### Solution for 700 is what percent of 10.50:

700:10.50*100 =

(700*100):10.50 =

70000:10.50 = 6666.6666666667

**Now we have: 700 is what percent of 10.50 = 6666.6666666667**

**Question: 700 is what percent of 10.50?**

Percentage solution with steps:

Step 1: We make the assumption that 10.50 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\%}={10.50}.

Step 4: In the same vein, {x\%}={700}.

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

{100\%}={10.50}(1).

{x\%}={700}(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{10.50}{700}

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

\frac{x\%}{100\%}=\frac{700}{10.50}

\Rightarrow{x} = {6666.6666666667\%}

Therefore, {700} is {6666.6666666667\%} of {10.50}.

#### Solution for 10.50 is what percent of 700:

10.50:700*100 =

(10.50*100):700 =

1050:700 = 1.5

**Now we have: 10.50 is what percent of 700 = 1.5**

**Question: 10.50 is what percent of 700?**

Percentage solution with steps:

Step 1: We make the assumption that 700 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\%}={700}.

Step 4: In the same vein, {x\%}={10.50}.

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

{100\%}={700}(1).

{x\%}={10.50}(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{700}{10.50}

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

\frac{x\%}{100\%}=\frac{10.50}{700}

\Rightarrow{x} = {1.5\%}

Therefore, {10.50} is {1.5\%} of {700}.

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