What is 19.642857142857 percent of 1250 - 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 1250 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 1250 is 100%, so we can write it down as 1250=100%.
4. We know, that x is 19.642857142857% of the output value, so we can write it down as x=19.642857142857%.
5. Now we have two simple equations:
1) 1250=100%
2) x=19.642857142857%
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:
1250/x=100%/19.642857142857%
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 19.642857142857% of 1250

1250/x=100/19.642857142857
(1250/x)*x=(100/19.642857142857)*x       - we multiply both sides of the equation by x
1250=5.0909090909091*x       - we divide both sides of the equation by (5.0909090909091) to get x
1250/5.0909090909091=x
245.53571428571=x
x=245.53571428571

now we have:
19.642857142857% of 1250=245.53571428571