38.06 is what percent of 706.65 - 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 706.65 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 706.65, so we can write it down as 100%=706.65.
4. We know, that x% equals 38.06 of the output value, so we can write it down as x%=38.06.
5. Now we have two simple equations:
1) 100%=706.65
2) x%=38.06
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%=706.65/38.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.06 is what percent of 706.65

100%/x%=706.65/38.06
(100/x)*x=(706.65/38.06)*x       - we multiply both sides of the equation by x
100=18.566736731477*x       - we divide both sides of the equation by (18.566736731477) to get x
100/18.566736731477=x
5.3859760843416=x
x=5.3859760843416

now we have:
38.06 is 5.3859760843416% of 706.65