5.75 is what percent of 212.25 - 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 212.25 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 212.25, so we can write it down as 100%=212.25.
4. We know, that x% equals 5.75 of the output value, so we can write it down as x%=5.75.
5. Now we have two simple equations:
1) 100%=212.25
2) x%=5.75
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%=212.25/5.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.75 is what percent of 212.25

100%/x%=212.25/5.75
(100/x)*x=(212.25/5.75)*x       - we multiply both sides of the equation by x
100=36.913043478261*x       - we divide both sides of the equation by (36.913043478261) to get x
100/36.913043478261=x
2.7090694935218=x
x=2.7090694935218

now we have:
5.75 is 2.7090694935218% of 212.25