41.79 is what percent of 696.35 - 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 696.35 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 696.35, so we can write it down as 100%=696.35.
4. We know, that x% equals 41.79 of the output value, so we can write it down as x%=41.79.
5. Now we have two simple equations:
1) 100%=696.35
2) x%=41.79
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%=696.35/41.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.79 is what percent of 696.35

100%/x%=696.35/41.79
(100/x)*x=(696.35/41.79)*x       - we multiply both sides of the equation by x
100=16.663077291218*x       - we divide both sides of the equation by (16.663077291218) to get x
100/16.663077291218=x
6.0012924535076=x
x=6.0012924535076

now we have:
41.79 is 6.0012924535076% of 696.35