279.97 is what percent of 7999 - 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 7999 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 7999, so we can write it down as 100%=7999.
4. We know, that x% equals 279.97 of the output value, so we can write it down as x%=279.97.
5. Now we have two simple equations:
1) 100%=7999
2) x%=279.97
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%=7999/279.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 279.97 is what percent of 7999

100%/x%=7999/279.97
(100/x)*x=(7999/279.97)*x       - we multiply both sides of the equation by x
100=28.570918312676*x       - we divide both sides of the equation by (28.570918312676) to get x
100/28.570918312676=x
3.5000625078135=x
x=3.5000625078135

now we have:
279.97 is 3.5000625078135% of 7999