52.75 is what percent of 912.75 - 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 912.75 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 912.75, so we can write it down as 100%=912.75.
4. We know, that x% equals 52.75 of the output value, so we can write it down as x%=52.75.
5. Now we have two simple equations:
1) 100%=912.75
2) x%=52.75
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%=912.75/52.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.75 is what percent of 912.75

100%/x%=912.75/52.75
(100/x)*x=(912.75/52.75)*x       - we multiply both sides of the equation by x
100=17.303317535545*x       - we divide both sides of the equation by (17.303317535545) to get x
100/17.303317535545=x
5.7792385647768=x
x=5.7792385647768

now we have:
52.75 is 5.7792385647768% of 912.75