36.33 is what percent of 997.48 - 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 997.48 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 997.48, so we can write it down as 100%=997.48.
4. We know, that x% equals 36.33 of the output value, so we can write it down as x%=36.33.
5. Now we have two simple equations:
1) 100%=997.48
2) x%=36.33
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%=997.48/36.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.33 is what percent of 997.48

100%/x%=997.48/36.33
(100/x)*x=(997.48/36.33)*x       - we multiply both sides of the equation by x
100=27.456096889623*x       - we divide both sides of the equation by (27.456096889623) to get x
100/27.456096889623=x
3.642178289289=x
x=3.642178289289

now we have:
36.33 is 3.642178289289% of 997.48