34.75 is what percent of 785.38 - 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 785.38 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 785.38, so we can write it down as 100%=785.38.
4. We know, that x% equals 34.75 of the output value, so we can write it down as x%=34.75.
5. Now we have two simple equations:
1) 100%=785.38
2) x%=34.75
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%=785.38/34.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.75 is what percent of 785.38

100%/x%=785.38/34.75
(100/x)*x=(785.38/34.75)*x       - we multiply both sides of the equation by x
100=22.600863309353*x       - we divide both sides of the equation by (22.600863309353) to get x
100/22.600863309353=x
4.4246097430543=x
x=4.4246097430543

now we have:
34.75 is 4.4246097430543% of 785.38