What is 42.857 percent of 282.97 - 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 282.97 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 282.97 is 100%, so we can write it down as 282.97=100%.
4. We know, that x is 42.857% of the output value, so we can write it down as x=42.857%.
5. Now we have two simple equations:
1) 282.97=100%
2) x=42.857%
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:
282.97/x=100%/42.857%
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 42.857% of 282.97

282.97/x=100/42.857
(282.97/x)*x=(100/42.857)*x       - we multiply both sides of the equation by x
282.97=2.333341111137*x       - we divide both sides of the equation by (2.333341111137) to get x
282.97/2.333341111137=x
121.2724529=x
x=121.2724529

now we have:
42.857% of 282.97=121.2724529