102.42 is what percent of 709.81 - 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 709.81 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 709.81, so we can write it down as 100%=709.81.
4. We know, that x% equals 102.42 of the output value, so we can write it down as x%=102.42.
5. Now we have two simple equations:
1) 100%=709.81
2) x%=102.42
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%=709.81/102.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.42 is what percent of 709.81

100%/x%=709.81/102.42
(100/x)*x=(709.81/102.42)*x       - we multiply both sides of the equation by x
100=6.9303846904901*x       - we divide both sides of the equation by (6.9303846904901) to get x
100/6.9303846904901=x
14.429213451487=x
x=14.429213451487

now we have:
102.42 is 14.429213451487% of 709.81