397.15 is what percent of 693.11 - 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 693.11 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 693.11, so we can write it down as 100%=693.11.
4. We know, that x% equals 397.15 of the output value, so we can write it down as x%=397.15.
5. Now we have two simple equations:
1) 100%=693.11
2) x%=397.15
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%=693.11/397.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 397.15 is what percent of 693.11

100%/x%=693.11/397.15
(100/x)*x=(693.11/397.15)*x       - we multiply both sides of the equation by x
100=1.745209618532*x       - we divide both sides of the equation by (1.745209618532) to get x
100/1.745209618532=x
57.299707117196=x
x=57.299707117196

now we have:
397.15 is 57.299707117196% of 693.11