102.13 is what percent of 681.89 - 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 681.89 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 681.89, so we can write it down as 100%=681.89.
4. We know, that x% equals 102.13 of the output value, so we can write it down as x%=102.13.
5. Now we have two simple equations:
1) 100%=681.89
2) x%=102.13
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%=681.89/102.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.13 is what percent of 681.89

100%/x%=681.89/102.13
(100/x)*x=(681.89/102.13)*x       - we multiply both sides of the equation by x
100=6.6766865759326*x       - we divide both sides of the equation by (6.6766865759326) to get x
100/6.6766865759326=x
14.977489037821=x
x=14.977489037821

now we have:
102.13 is 14.977489037821% of 681.89