35.82 is what percent of 44.79 - 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 44.79 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 44.79, so we can write it down as 100%=44.79.
4. We know, that x% equals 35.82 of the output value, so we can write it down as x%=35.82.
5. Now we have two simple equations:
1) 100%=44.79
2) x%=35.82
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%=44.79/35.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.82 is what percent of 44.79

100%/x%=44.79/35.82
(100/x)*x=(44.79/35.82)*x       - we multiply both sides of the equation by x
100=1.250418760469*x       - we divide both sides of the equation by (1.250418760469) to get x
100/1.250418760469=x
79.973208305425=x
x=79.973208305425

now we have:
35.82 is 79.973208305425% of 44.79