34.3 is what percent of 75 - 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 75 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 75, so we can write it down as 100%=75.
4. We know, that x% equals 34.3 of the output value, so we can write it down as x%=34.3.
5. Now we have two simple equations:
1) 100%=75
2) x%=34.3
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%=75/34.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.3 is what percent of 75

100%/x%=75/34.3
(100/x)*x=(75/34.3)*x       - we multiply both sides of the equation by x
100=2.1865889212828*x       - we divide both sides of the equation by (2.1865889212828) to get x
100/2.1865889212828=x
45.733333333333=x
x=45.733333333333

now we have:
34.3 is 45.733333333333% of 75