34.75 is what percent of 79.5 - 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 79.5 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 79.5, so we can write it down as 100%=79.5.
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%=79.5
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%=79.5/34.75
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 79.5

100%/x%=79.5/34.75
(100/x)*x=(79.5/34.75)*x       - we multiply both sides of the equation by x
100=2.2877697841727*x       - we divide both sides of the equation by (2.2877697841727) to get x
100/2.2877697841727=x
43.710691823899=x
x=43.710691823899

now we have:
34.75 is 43.710691823899% of 79.5