1255.45 is what percent of 3569.2 - 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 3569.2 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 3569.2, so we can write it down as 100%=3569.2.
4. We know, that x% equals 1255.45 of the output value, so we can write it down as x%=1255.45.
5. Now we have two simple equations:
1) 100%=3569.2
2) x%=1255.45
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%=3569.2/1255.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1255.45 is what percent of 3569.2

100%/x%=3569.2/1255.45
(100/x)*x=(3569.2/1255.45)*x       - we multiply both sides of the equation by x
100=2.8429646740213*x       - we divide both sides of the equation by (2.8429646740213) to get x
100/2.8429646740213=x
35.174548918525=x
x=35.174548918525

now we have:
1255.45 is 35.174548918525% of 3569.2