1167.5 is what percent of 4467.5 - 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 4467.5 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 4467.5, so we can write it down as 100%=4467.5.
4. We know, that x% equals 1167.5 of the output value, so we can write it down as x%=1167.5.
5. Now we have two simple equations:
1) 100%=4467.5
2) x%=1167.5
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%=4467.5/1167.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1167.5 is what percent of 4467.5

100%/x%=4467.5/1167.5
(100/x)*x=(4467.5/1167.5)*x       - we multiply both sides of the equation by x
100=3.8265524625268*x       - we divide both sides of the equation by (3.8265524625268) to get x
100/3.8265524625268=x
26.133184107443=x
x=26.133184107443

now we have:
1167.5 is 26.133184107443% of 4467.5