207.86 is what percent of 1199.21 - 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 1199.21 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 1199.21, so we can write it down as 100%=1199.21.
4. We know, that x% equals 207.86 of the output value, so we can write it down as x%=207.86.
5. Now we have two simple equations:
1) 100%=1199.21
2) x%=207.86
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%=1199.21/207.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 207.86 is what percent of 1199.21

100%/x%=1199.21/207.86
(100/x)*x=(1199.21/207.86)*x       - we multiply both sides of the equation by x
100=5.7693158856923*x       - we divide both sides of the equation by (5.7693158856923) to get x
100/5.7693158856923=x
17.333077609426=x
x=17.333077609426

now we have:
207.86 is 17.333077609426% of 1199.21