1055.67 is what percent of 3709.75 - 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 3709.75 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 3709.75, so we can write it down as 100%=3709.75.
4. We know, that x% equals 1055.67 of the output value, so we can write it down as x%=1055.67.
5. Now we have two simple equations:
1) 100%=3709.75
2) x%=1055.67
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%=3709.75/1055.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1055.67 is what percent of 3709.75

100%/x%=3709.75/1055.67
(100/x)*x=(3709.75/1055.67)*x       - we multiply both sides of the equation by x
100=3.5141189955194*x       - we divide both sides of the equation by (3.5141189955194) to get x
100/3.5141189955194=x
28.456634544107=x
x=28.456634544107

now we have:
1055.67 is 28.456634544107% of 3709.75