2974.5 is what percent of 3474 - 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 3474 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 3474, so we can write it down as 100%=3474.
4. We know, that x% equals 2974.5 of the output value, so we can write it down as x%=2974.5.
5. Now we have two simple equations:
1) 100%=3474
2) x%=2974.5
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%=3474/2974.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2974.5 is what percent of 3474

100%/x%=3474/2974.5
(100/x)*x=(3474/2974.5)*x       - we multiply both sides of the equation by x
100=1.1679273827534*x       - we divide both sides of the equation by (1.1679273827534) to get x
100/1.1679273827534=x
85.621761658031=x
x=85.621761658031

now we have:
2974.5 is 85.621761658031% of 3474