68.49 is what percent of 1138.25 - 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 1138.25 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 1138.25, so we can write it down as 100%=1138.25.
4. We know, that x% equals 68.49 of the output value, so we can write it down as x%=68.49.
5. Now we have two simple equations:
1) 100%=1138.25
2) x%=68.49
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%=1138.25/68.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 68.49 is what percent of 1138.25

100%/x%=1138.25/68.49
(100/x)*x=(1138.25/68.49)*x       - we multiply both sides of the equation by x
100=16.619214483866*x       - we divide both sides of the equation by (16.619214483866) to get x
100/16.619214483866=x
6.0171315616077=x
x=6.0171315616077

now we have:
68.49 is 6.0171315616077% of 1138.25