646.57 is what percent of 1103.11 - 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 1103.11 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 1103.11, so we can write it down as 100%=1103.11.
4. We know, that x% equals 646.57 of the output value, so we can write it down as x%=646.57.
5. Now we have two simple equations:
1) 100%=1103.11
2) x%=646.57
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%=1103.11/646.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 646.57 is what percent of 1103.11

100%/x%=1103.11/646.57
(100/x)*x=(1103.11/646.57)*x       - we multiply both sides of the equation by x
100=1.7060952410412*x       - we divide both sides of the equation by (1.7060952410412) to get x
100/1.7060952410412=x
58.613374912747=x
x=58.613374912747

now we have:
646.57 is 58.613374912747% of 1103.11