253.91 is what percent of 368.024 - 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 368.024 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 368.024, so we can write it down as 100%=368.024.
4. We know, that x% equals 253.91 of the output value, so we can write it down as x%=253.91.
5. Now we have two simple equations:
1) 100%=368.024
2) x%=253.91
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%=368.024/253.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 253.91 is what percent of 368.024

100%/x%=368.024/253.91
(100/x)*x=(368.024/253.91)*x       - we multiply both sides of the equation by x
100=1.4494269623095*x       - we divide both sides of the equation by (1.4494269623095) to get x
100/1.4494269623095=x
68.992783079364=x
x=68.992783079364

now we have:
253.91 is 68.992783079364% of 368.024