299.38 is what percent of 1822.1 - 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 1822.1 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 1822.1, so we can write it down as 100%=1822.1.
4. We know, that x% equals 299.38 of the output value, so we can write it down as x%=299.38.
5. Now we have two simple equations:
1) 100%=1822.1
2) x%=299.38
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%=1822.1/299.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 299.38 is what percent of 1822.1

100%/x%=1822.1/299.38
(100/x)*x=(1822.1/299.38)*x       - we multiply both sides of the equation by x
100=6.0862449061394*x       - we divide both sides of the equation by (6.0862449061394) to get x
100/6.0862449061394=x
16.430492289117=x
x=16.430492289117

now we have:
299.38 is 16.430492289117% of 1822.1