31.63 is what percent of 1153.77 - 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 1153.77 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 1153.77, so we can write it down as 100%=1153.77.
4. We know, that x% equals 31.63 of the output value, so we can write it down as x%=31.63.
5. Now we have two simple equations:
1) 100%=1153.77
2) x%=31.63
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%=1153.77/31.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.63 is what percent of 1153.77

100%/x%=1153.77/31.63
(100/x)*x=(1153.77/31.63)*x       - we multiply both sides of the equation by x
100=36.477078722732*x       - we divide both sides of the equation by (36.477078722732) to get x
100/36.477078722732=x
2.7414476022084=x
x=2.7414476022084

now we have:
31.63 is 2.7414476022084% of 1153.77