5.8 is what percent of 155.2 - 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 155.2 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 155.2, so we can write it down as 100%=155.2.
4. We know, that x% equals 5.8 of the output value, so we can write it down as x%=5.8.
5. Now we have two simple equations:
1) 100%=155.2
2) x%=5.8
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%=155.2/5.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.8 is what percent of 155.2

100%/x%=155.2/5.8
(100/x)*x=(155.2/5.8)*x       - we multiply both sides of the equation by x
100=26.758620689655*x       - we divide both sides of the equation by (26.758620689655) to get x
100/26.758620689655=x
3.7371134020619=x
x=3.7371134020619

now we have:
5.8 is 3.7371134020619% of 155.2