27.25 is what percent of 1041.25 - 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 1041.25 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 1041.25, so we can write it down as 100%=1041.25.
4. We know, that x% equals 27.25 of the output value, so we can write it down as x%=27.25.
5. Now we have two simple equations:
1) 100%=1041.25
2) x%=27.25
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%=1041.25/27.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.25 is what percent of 1041.25

100%/x%=1041.25/27.25
(100/x)*x=(1041.25/27.25)*x       - we multiply both sides of the equation by x
100=38.211009174312*x       - we divide both sides of the equation by (38.211009174312) to get x
100/38.211009174312=x
2.6170468187275=x
x=2.6170468187275

now we have:
27.25 is 2.6170468187275% of 1041.25