41.81 is what percent of 696.9 - 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 696.9 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 696.9, so we can write it down as 100%=696.9.
4. We know, that x% equals 41.81 of the output value, so we can write it down as x%=41.81.
5. Now we have two simple equations:
1) 100%=696.9
2) x%=41.81
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%=696.9/41.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.81 is what percent of 696.9

100%/x%=696.9/41.81
(100/x)*x=(696.9/41.81)*x       - we multiply both sides of the equation by x
100=16.668261181536*x       - we divide both sides of the equation by (16.668261181536) to get x
100/16.668261181536=x
5.9994260295595=x
x=5.9994260295595

now we have:
41.81 is 5.9994260295595% of 696.9