75.41 is what percent of 236.12 - 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 236.12 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 236.12, so we can write it down as 100%=236.12.
4. We know, that x% equals 75.41 of the output value, so we can write it down as x%=75.41.
5. Now we have two simple equations:
1) 100%=236.12
2) x%=75.41
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%=236.12/75.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.41 is what percent of 236.12

100%/x%=236.12/75.41
(100/x)*x=(236.12/75.41)*x       - we multiply both sides of the equation by x
100=3.1311497148919*x       - we divide both sides of the equation by (3.1311497148919) to get x
100/3.1311497148919=x
31.937150601389=x
x=31.937150601389

now we have:
75.41 is 31.937150601389% of 236.12