23 is what percent of 7.114 - 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 7.114 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 7.114, so we can write it down as 100%=7.114.
4. We know, that x% equals 23 of the output value, so we can write it down as x%=23.
5. Now we have two simple equations:
1) 100%=7.114
2) x%=23
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%=7.114/23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23 is what percent of 7.114

100%/x%=7.114/23
(100/x)*x=(7.114/23)*x       - we multiply both sides of the equation by x
100=0.30930434782609*x       - we divide both sides of the equation by (0.30930434782609) to get x
100/0.30930434782609=x
323.30615687377=x
x=323.30615687377

now we have:
23 is 323.30615687377% of 7.114