2.3 is what percent of 55.6 - 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 55.6 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 55.6, so we can write it down as 100%=55.6.
4. We know, that x% equals 2.3 of the output value, so we can write it down as x%=2.3.
5. Now we have two simple equations:
1) 100%=55.6
2) x%=2.3
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%=55.6/2.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.3 is what percent of 55.6

100%/x%=55.6/2.3
(100/x)*x=(55.6/2.3)*x       - we multiply both sides of the equation by x
100=24.173913043478*x       - we divide both sides of the equation by (24.173913043478) to get x
100/24.173913043478=x
4.136690647482=x
x=4.136690647482

now we have:
2.3 is 4.136690647482% of 55.6