238.78 is what percent of 6812.98 - 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 6812.98 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 6812.98, so we can write it down as 100%=6812.98.
4. We know, that x% equals 238.78 of the output value, so we can write it down as x%=238.78.
5. Now we have two simple equations:
1) 100%=6812.98
2) x%=238.78
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%=6812.98/238.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 238.78 is what percent of 6812.98

100%/x%=6812.98/238.78
(100/x)*x=(6812.98/238.78)*x       - we multiply both sides of the equation by x
100=28.532456654661*x       - we divide both sides of the equation by (28.532456654661) to get x
100/28.532456654661=x
3.5047805805976=x
x=3.5047805805976

now we have:
238.78 is 3.5047805805976% of 6812.98