What is 64.285714285714 percent of 225.25 - 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 225.25 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 225.25 is 100%, so we can write it down as 225.25=100%.
4. We know, that x is 64.285714285714% of the output value, so we can write it down as x=64.285714285714%.
5. Now we have two simple equations:
1) 225.25=100%
2) x=64.285714285714%
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:
225.25/x=100%/64.285714285714%
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 64.285714285714% of 225.25

225.25/x=100/64.285714285714
(225.25/x)*x=(100/64.285714285714)*x       - we multiply both sides of the equation by x
225.25=1.5555555555556*x       - we divide both sides of the equation by (1.5555555555556) to get x
225.25/1.5555555555556=x
144.80357142857=x
x=144.80357142857

now we have:
64.285714285714% of 225.25=144.80357142857