74 is what percent of 10.658 - 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 10.658 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 10.658, so we can write it down as 100%=10.658.
4. We know, that x% equals 74 of the output value, so we can write it down as x%=74.
5. Now we have two simple equations:
1) 100%=10.658
2) x%=74
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%=10.658/74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74 is what percent of 10.658

100%/x%=10.658/74
(100/x)*x=(10.658/74)*x       - we multiply both sides of the equation by x
100=0.14402702702703*x       - we divide both sides of the equation by (0.14402702702703) to get x
100/0.14402702702703=x
694.31413023081=x
x=694.31413023081

now we have:
74 is 694.31413023081% of 10.658