20.2 is what percent of 1500 - 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 1500 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 1500, so we can write it down as 100%=1500.
4. We know, that x% equals 20.2 of the output value, so we can write it down as x%=20.2.
5. Now we have two simple equations:
1) 100%=1500
2) x%=20.2
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%=1500/20.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.2 is what percent of 1500

100%/x%=1500/20.2
(100/x)*x=(1500/20.2)*x       - we multiply both sides of the equation by x
100=74.257425742574*x       - we divide both sides of the equation by (74.257425742574) to get x
100/74.257425742574=x
1.3466666666667=x
x=1.3466666666667

now we have:
20.2 is 1.3466666666667% of 1500