7335.64 is what percent of 7400 - 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 7400 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 7400, so we can write it down as 100%=7400.
4. We know, that x% equals 7335.64 of the output value, so we can write it down as x%=7335.64.
5. Now we have two simple equations:
1) 100%=7400
2) x%=7335.64
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%=7400/7335.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7335.64 is what percent of 7400

100%/x%=7400/7335.64
(100/x)*x=(7400/7335.64)*x       - we multiply both sides of the equation by x
100=1.0087736039391*x       - we divide both sides of the equation by (1.0087736039391) to get x
100/1.0087736039391=x
99.13027027027=x
x=99.13027027027

now we have:
7335.64 is 99.13027027027% of 7400