5.4 is what percent of 247.2 - 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 247.2 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 247.2, so we can write it down as 100%=247.2.
4. We know, that x% equals 5.4 of the output value, so we can write it down as x%=5.4.
5. Now we have two simple equations:
1) 100%=247.2
2) x%=5.4
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%=247.2/5.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.4 is what percent of 247.2

100%/x%=247.2/5.4
(100/x)*x=(247.2/5.4)*x       - we multiply both sides of the equation by x
100=45.777777777778*x       - we divide both sides of the equation by (45.777777777778) to get x
100/45.777777777778=x
2.1844660194175=x
x=2.1844660194175

now we have:
5.4 is 2.1844660194175% of 247.2