12.7 is what percent of 69.8 - 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 69.8 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 69.8, so we can write it down as 100%=69.8.
4. We know, that x% equals 12.7 of the output value, so we can write it down as x%=12.7.
5. Now we have two simple equations:
1) 100%=69.8
2) x%=12.7
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%=69.8/12.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.7 is what percent of 69.8

100%/x%=69.8/12.7
(100/x)*x=(69.8/12.7)*x       - we multiply both sides of the equation by x
100=5.496062992126*x       - we divide both sides of the equation by (5.496062992126) to get x
100/5.496062992126=x
18.194842406877=x
x=18.194842406877

now we have:
12.7 is 18.194842406877% of 69.8