611.96 is what percent of 7199.5 - 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 7199.5 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 7199.5, so we can write it down as 100%=7199.5.
4. We know, that x% equals 611.96 of the output value, so we can write it down as x%=611.96.
5. Now we have two simple equations:
1) 100%=7199.5
2) x%=611.96
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%=7199.5/611.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 611.96 is what percent of 7199.5

100%/x%=7199.5/611.96
(100/x)*x=(7199.5/611.96)*x       - we multiply both sides of the equation by x
100=11.764657820773*x       - we divide both sides of the equation by (11.764657820773) to get x
100/11.764657820773=x
8.5000347246337=x
x=8.5000347246337

now we have:
611.96 is 8.5000347246337% of 7199.5