38.45 is what percent of 88 - 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 88 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 88, so we can write it down as 100%=88.
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%=88
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%=88/38.45
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 88

100%/x%=88/38.45
(100/x)*x=(88/38.45)*x       - we multiply both sides of the equation by x
100=2.2886866059818*x       - we divide both sides of the equation by (2.2886866059818) to get x
100/2.2886866059818=x
43.693181818182=x
x=43.693181818182

now we have:
38.45 is 43.693181818182% of 88