28.93 is what percent of 279.48 - 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 279.48 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 279.48, so we can write it down as 100%=279.48.
4. We know, that x% equals 28.93 of the output value, so we can write it down as x%=28.93.
5. Now we have two simple equations:
1) 100%=279.48
2) x%=28.93
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%=279.48/28.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.93 is what percent of 279.48

100%/x%=279.48/28.93
(100/x)*x=(279.48/28.93)*x       - we multiply both sides of the equation by x
100=9.660559972347*x       - we divide both sides of the equation by (9.660559972347) to get x
100/9.660559972347=x
10.351366824102=x
x=10.351366824102

now we have:
28.93 is 10.351366824102% of 279.48