7.14 is what percent of 12.14 - 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 12.14 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 12.14, so we can write it down as 100%=12.14.
4. We know, that x% equals 7.14 of the output value, so we can write it down as x%=7.14.
5. Now we have two simple equations:
1) 100%=12.14
2) x%=7.14
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%=12.14/7.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.14 is what percent of 12.14

100%/x%=12.14/7.14
(100/x)*x=(12.14/7.14)*x       - we multiply both sides of the equation by x
100=1.7002801120448*x       - we divide both sides of the equation by (1.7002801120448) to get x
100/1.7002801120448=x
58.813838550247=x
x=58.813838550247

now we have:
7.14 is 58.813838550247% of 12.14