38 is what percent of 864.93 - 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 864.93 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 864.93, so we can write it down as 100%=864.93.
4. We know, that x% equals 38 of the output value, so we can write it down as x%=38.
5. Now we have two simple equations:
1) 100%=864.93
2) x%=38
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%=864.93/38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38 is what percent of 864.93

100%/x%=864.93/38
(100/x)*x=(864.93/38)*x       - we multiply both sides of the equation by x
100=22.761315789474*x       - we divide both sides of the equation by (22.761315789474) to get x
100/22.761315789474=x
4.3934191206225=x
x=4.3934191206225

now we have:
38 is 4.3934191206225% of 864.93