2.19 is what percent of 5.8 - 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 5.8 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 5.8, so we can write it down as 100%=5.8.
4. We know, that x% equals 2.19 of the output value, so we can write it down as x%=2.19.
5. Now we have two simple equations:
1) 100%=5.8
2) x%=2.19
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%=5.8/2.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.19 is what percent of 5.8

100%/x%=5.8/2.19
(100/x)*x=(5.8/2.19)*x       - we multiply both sides of the equation by x
100=2.648401826484*x       - we divide both sides of the equation by (2.648401826484) to get x
100/2.648401826484=x
37.758620689655=x
x=37.758620689655

now we have:
2.19 is 37.758620689655% of 5.8