4.2 is what percent of 250.2 - 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 250.2 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 250.2, so we can write it down as 100%=250.2.
4. We know, that x% equals 4.2 of the output value, so we can write it down as x%=4.2.
5. Now we have two simple equations:
1) 100%=250.2
2) x%=4.2
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%=250.2/4.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.2 is what percent of 250.2

100%/x%=250.2/4.2
(100/x)*x=(250.2/4.2)*x       - we multiply both sides of the equation by x
100=59.571428571429*x       - we divide both sides of the equation by (59.571428571429) to get x
100/59.571428571429=x
1.6786570743405=x
x=1.6786570743405

now we have:
4.2 is 1.6786570743405% of 250.2