645.06 is what percent of 694.08 - 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 694.08 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 694.08, so we can write it down as 100%=694.08.
4. We know, that x% equals 645.06 of the output value, so we can write it down as x%=645.06.
5. Now we have two simple equations:
1) 100%=694.08
2) x%=645.06
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%=694.08/645.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 645.06 is what percent of 694.08

100%/x%=694.08/645.06
(100/x)*x=(694.08/645.06)*x       - we multiply both sides of the equation by x
100=1.0759929308901*x       - we divide both sides of the equation by (1.0759929308901) to get x
100/1.0759929308901=x
92.937413554633=x
x=92.937413554633

now we have:
645.06 is 92.937413554633% of 694.08