3.38 is what percent of 1350 - 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 1350 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 1350, so we can write it down as 100%=1350.
4. We know, that x% equals 3.38 of the output value, so we can write it down as x%=3.38.
5. Now we have two simple equations:
1) 100%=1350
2) x%=3.38
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%=1350/3.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.38 is what percent of 1350

100%/x%=1350/3.38
(100/x)*x=(1350/3.38)*x       - we multiply both sides of the equation by x
100=399.40828402367*x       - we divide both sides of the equation by (399.40828402367) to get x
100/399.40828402367=x
0.25037037037037=x
x=0.25037037037037

now we have:
3.38 is 0.25037037037037% of 1350