What is 5.357142857 percent of 15000 - 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 15000 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 15000 is 100%, so we can write it down as 15000=100%.
4. We know, that x is 5.357142857% of the output value, so we can write it down as x=5.357142857%.
5. Now we have two simple equations:
1) 15000=100%
2) x=5.357142857%
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:
15000/x=100%/5.357142857%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 5.357142857% of 15000

15000/x=100/5.357142857
(15000/x)*x=(100/5.357142857)*x       - we multiply both sides of the equation by x
15000=18.666666667164*x       - we divide both sides of the equation by (18.666666667164) to get x
15000/18.666666667164=x
803.57142855=x
x=803.57142855

now we have:
5.357142857% of 15000=803.57142855