1682.75 is what percent of 10000 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 10000 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 10000, so we can write it down as 100%=10000.
4. We know, that x% equals 1682.75 of the output value, so we can write it down as x%=1682.75.
5. Now we have two simple equations:
1) 100%=10000
2) x%=1682.75
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=10000/1682.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1682.75 is what percent of 10000

100%/x%=10000/1682.75
(100/x)*x=(10000/1682.75)*x       - we multiply both sides of the equation by x
100=5.9426533947408*x       - we divide both sides of the equation by (5.9426533947408) to get x
100/5.9426533947408=x
16.8275=x
x=16.8275

now we have:
1682.75 is 16.8275% of 10000