1007.57 is what percent of 3510.7 - 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 3510.7 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 3510.7, so we can write it down as 100%=3510.7.
4. We know, that x% equals 1007.57 of the output value, so we can write it down as x%=1007.57.
5. Now we have two simple equations:
1) 100%=3510.7
2) x%=1007.57
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%=3510.7/1007.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1007.57 is what percent of 3510.7

100%/x%=3510.7/1007.57
(100/x)*x=(3510.7/1007.57)*x       - we multiply both sides of the equation by x
100=3.4843236698195*x       - we divide both sides of the equation by (3.4843236698195) to get x
100/3.4843236698195=x
28.699974364087=x
x=28.699974364087

now we have:
1007.57 is 28.699974364087% of 3510.7