What is 42.410714285714 percent of 575 - 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 575 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 575 is 100%, so we can write it down as 575=100%.
4. We know, that x is 42.410714285714% of the output value, so we can write it down as x=42.410714285714%.
5. Now we have two simple equations:
1) 575=100%
2) x=42.410714285714%
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:
575/x=100%/42.410714285714%
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 42.410714285714% of 575

575/x=100/42.410714285714
(575/x)*x=(100/42.410714285714)*x       - we multiply both sides of the equation by x
575=2.3578947368421*x       - we divide both sides of the equation by (2.3578947368421) to get x
575/2.3578947368421=x
243.86160714286=x
x=243.86160714286

now we have:
42.410714285714% of 575=243.86160714286