49.35 is what percent of 645.07 - 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 645.07 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 645.07, so we can write it down as 100%=645.07.
4. We know, that x% equals 49.35 of the output value, so we can write it down as x%=49.35.
5. Now we have two simple equations:
1) 100%=645.07
2) x%=49.35
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%=645.07/49.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.35 is what percent of 645.07

100%/x%=645.07/49.35
(100/x)*x=(645.07/49.35)*x       - we multiply both sides of the equation by x
100=13.071327254306*x       - we divide both sides of the equation by (13.071327254306) to get x
100/13.071327254306=x
7.6503325220519=x
x=7.6503325220519

now we have:
49.35 is 7.6503325220519% of 645.07