40.75 is what percent of 94.75 - 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 94.75 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 94.75, so we can write it down as 100%=94.75.
4. We know, that x% equals 40.75 of the output value, so we can write it down as x%=40.75.
5. Now we have two simple equations:
1) 100%=94.75
2) x%=40.75
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%=94.75/40.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.75 is what percent of 94.75

100%/x%=94.75/40.75
(100/x)*x=(94.75/40.75)*x       - we multiply both sides of the equation by x
100=2.3251533742331*x       - we divide both sides of the equation by (2.3251533742331) to get x
100/2.3251533742331=x
43.007915567282=x
x=43.007915567282

now we have:
40.75 is 43.007915567282% of 94.75