38.45 is what percent of 38.65 - 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 38.65 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 38.65, so we can write it down as 100%=38.65.
4. We know, that x% equals 38.45 of the output value, so we can write it down as x%=38.45.
5. Now we have two simple equations:
1) 100%=38.65
2) x%=38.45
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%=38.65/38.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.45 is what percent of 38.65

100%/x%=38.65/38.45
(100/x)*x=(38.65/38.45)*x       - we multiply both sides of the equation by x
100=1.0052015604681*x       - we divide both sides of the equation by (1.0052015604681) to get x
100/1.0052015604681=x
99.482535575679=x
x=99.482535575679

now we have:
38.45 is 99.482535575679% of 38.65