2.83 is what percent of 158.4 - 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 158.4 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 158.4, so we can write it down as 100%=158.4.
4. We know, that x% equals 2.83 of the output value, so we can write it down as x%=2.83.
5. Now we have two simple equations:
1) 100%=158.4
2) x%=2.83
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%=158.4/2.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.83 is what percent of 158.4

100%/x%=158.4/2.83
(100/x)*x=(158.4/2.83)*x       - we multiply both sides of the equation by x
100=55.971731448763*x       - we divide both sides of the equation by (55.971731448763) to get x
100/55.971731448763=x
1.7866161616162=x
x=1.7866161616162

now we have:
2.83 is 1.7866161616162% of 158.4