4.2 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 4.2 of the output value, so we can write it down as x%=4.2.
5. Now we have two simple equations:
1) 100%=1350
2) x%=4.2
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%=1350/4.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.2 is what percent of 1350

100%/x%=1350/4.2
(100/x)*x=(1350/4.2)*x       - we multiply both sides of the equation by x
100=321.42857142857*x       - we divide both sides of the equation by (321.42857142857) to get x
100/321.42857142857=x
0.31111111111111=x
x=0.31111111111111

now we have:
4.2 is 0.31111111111111% of 1350