7.02 is what percent of 68.5 - 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 68.5 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 68.5, so we can write it down as 100%=68.5.
4. We know, that x% equals 7.02 of the output value, so we can write it down as x%=7.02.
5. Now we have two simple equations:
1) 100%=68.5
2) x%=7.02
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%=68.5/7.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.02 is what percent of 68.5

100%/x%=68.5/7.02
(100/x)*x=(68.5/7.02)*x       - we multiply both sides of the equation by x
100=9.7578347578348*x       - we divide both sides of the equation by (9.7578347578348) to get x
100/9.7578347578348=x
10.248175182482=x
x=10.248175182482

now we have:
7.02 is 10.248175182482% of 68.5