26.83 is what percent of 536.7 - 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 536.7 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 536.7, so we can write it down as 100%=536.7.
4. We know, that x% equals 26.83 of the output value, so we can write it down as x%=26.83.
5. Now we have two simple equations:
1) 100%=536.7
2) x%=26.83
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%=536.7/26.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.83 is what percent of 536.7

100%/x%=536.7/26.83
(100/x)*x=(536.7/26.83)*x       - we multiply both sides of the equation by x
100=20.003727171077*x       - we divide both sides of the equation by (20.003727171077) to get x
100/20.003727171077=x
4.9990683808459=x
x=4.9990683808459

now we have:
26.83 is 4.9990683808459% of 536.7