199.74 is what percent of 2320.69 - 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 2320.69 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 2320.69, so we can write it down as 100%=2320.69.
4. We know, that x% equals 199.74 of the output value, so we can write it down as x%=199.74.
5. Now we have two simple equations:
1) 100%=2320.69
2) x%=199.74
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%=2320.69/199.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.74 is what percent of 2320.69

100%/x%=2320.69/199.74
(100/x)*x=(2320.69/199.74)*x       - we multiply both sides of the equation by x
100=11.618554120356*x       - we divide both sides of the equation by (11.618554120356) to get x
100/11.618554120356=x
8.6069229410219=x
x=8.6069229410219

now we have:
199.74 is 8.6069229410219% of 2320.69