291.72 is what percent of 863.72 - 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 863.72 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 863.72, so we can write it down as 100%=863.72.
4. We know, that x% equals 291.72 of the output value, so we can write it down as x%=291.72.
5. Now we have two simple equations:
1) 100%=863.72
2) x%=291.72
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%=863.72/291.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 291.72 is what percent of 863.72

100%/x%=863.72/291.72
(100/x)*x=(863.72/291.72)*x       - we multiply both sides of the equation by x
100=2.9607843137255*x       - we divide both sides of the equation by (2.9607843137255) to get x
100/2.9607843137255=x
33.774834437086=x
x=33.774834437086

now we have:
291.72 is 33.774834437086% of 863.72