71.75 is what percent of 356.25 - 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 356.25 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 356.25, so we can write it down as 100%=356.25.
4. We know, that x% equals 71.75 of the output value, so we can write it down as x%=71.75.
5. Now we have two simple equations:
1) 100%=356.25
2) x%=71.75
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%=356.25/71.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.75 is what percent of 356.25

100%/x%=356.25/71.75
(100/x)*x=(356.25/71.75)*x       - we multiply both sides of the equation by x
100=4.9651567944251*x       - we divide both sides of the equation by (4.9651567944251) to get x
100/4.9651567944251=x
20.140350877193=x
x=20.140350877193

now we have:
71.75 is 20.140350877193% of 356.25