199.18 is what percent of 3213.82 - 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 3213.82 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 3213.82, so we can write it down as 100%=3213.82.
4. We know, that x% equals 199.18 of the output value, so we can write it down as x%=199.18.
5. Now we have two simple equations:
1) 100%=3213.82
2) x%=199.18
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%=3213.82/199.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.18 is what percent of 3213.82

100%/x%=3213.82/199.18
(100/x)*x=(3213.82/199.18)*x       - we multiply both sides of the equation by x
100=16.135254543629*x       - we divide both sides of the equation by (16.135254543629) to get x
100/16.135254543629=x
6.1976090758039=x
x=6.1976090758039

now we have:
199.18 is 6.1976090758039% of 3213.82