What is 57.19 percent of 249.99 - 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 249.99 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 249.99 is 100%, so we can write it down as 249.99=100%.
4. We know, that x is 57.19% of the output value, so we can write it down as x=57.19%.
5. Now we have two simple equations:
1) 249.99=100%
2) x=57.19%
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:
249.99/x=100%/57.19%
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 57.19% of 249.99

249.99/x=100/57.19
(249.99/x)*x=(100/57.19)*x       - we multiply both sides of the equation by x
249.99=1.7485574401119*x       - we divide both sides of the equation by (1.7485574401119) to get x
249.99/1.7485574401119=x
142.969281=x
x=142.969281

now we have:
57.19% of 249.99=142.969281