37.45 is what percent of 696.55 - 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 696.55 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 696.55, so we can write it down as 100%=696.55.
4. We know, that x% equals 37.45 of the output value, so we can write it down as x%=37.45.
5. Now we have two simple equations:
1) 100%=696.55
2) x%=37.45
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%=696.55/37.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.45 is what percent of 696.55

100%/x%=696.55/37.45
(100/x)*x=(696.55/37.45)*x       - we multiply both sides of the equation by x
100=18.599465954606*x       - we divide both sides of the equation by (18.599465954606) to get x
100/18.599465954606=x
5.3764984566793=x
x=5.3764984566793

now we have:
37.45 is 5.3764984566793% of 696.55