3040.4 is what percent of 3427.25 - 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 3427.25 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 3427.25, so we can write it down as 100%=3427.25.
4. We know, that x% equals 3040.4 of the output value, so we can write it down as x%=3040.4.
5. Now we have two simple equations:
1) 100%=3427.25
2) x%=3040.4
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%=3427.25/3040.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3040.4 is what percent of 3427.25

100%/x%=3427.25/3040.4
(100/x)*x=(3427.25/3040.4)*x       - we multiply both sides of the equation by x
100=1.1272365478227*x       - we divide both sides of the equation by (1.1272365478227) to get x
100/1.1272365478227=x
88.712524618864=x
x=88.712524618864

now we have:
3040.4 is 88.712524618864% of 3427.25