264.5 is what percent of 1537.5 - 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 1537.5 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 1537.5, so we can write it down as 100%=1537.5.
4. We know, that x% equals 264.5 of the output value, so we can write it down as x%=264.5.
5. Now we have two simple equations:
1) 100%=1537.5
2) x%=264.5
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%=1537.5/264.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 264.5 is what percent of 1537.5

100%/x%=1537.5/264.5
(100/x)*x=(1537.5/264.5)*x       - we multiply both sides of the equation by x
100=5.812854442344*x       - we divide both sides of the equation by (5.812854442344) to get x
100/5.812854442344=x
17.20325203252=x
x=17.20325203252

now we have:
264.5 is 17.20325203252% of 1537.5