38.98 is what percent of 2155 - 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 2155 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 2155, so we can write it down as 100%=2155.
4. We know, that x% equals 38.98 of the output value, so we can write it down as x%=38.98.
5. Now we have two simple equations:
1) 100%=2155
2) x%=38.98
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%=2155/38.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.98 is what percent of 2155

100%/x%=2155/38.98
(100/x)*x=(2155/38.98)*x       - we multiply both sides of the equation by x
100=55.284761416111*x       - we divide both sides of the equation by (55.284761416111) to get x
100/55.284761416111=x
1.8088167053364=x
x=1.8088167053364

now we have:
38.98 is 1.8088167053364% of 2155