14.2 is what percent of 225.6 - 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 225.6 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 100% equals 225.6, so we can write it down as 100%=225.6.
4. We know, that x% equals 14.2 of the output value, so we can write it down as x%=14.2.
5. Now we have two simple equations:
1) 100%=225.6
2) x%=14.2
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:
100%/x%=225.6/14.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.2 is what percent of 225.6

100%/x%=225.6/14.2
(100/x)*x=(225.6/14.2)*x       - we multiply both sides of the equation by x
100=15.887323943662*x       - we divide both sides of the equation by (15.887323943662) to get x
100/15.887323943662=x
6.2943262411348=x
x=6.2943262411348

now we have:
14.2 is 6.2943262411348% of 225.6