1588.8 is what percent of 21300 - 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 21300 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 21300, so we can write it down as 100%=21300.
4. We know, that x% equals 1588.8 of the output value, so we can write it down as x%=1588.8.
5. Now we have two simple equations:
1) 100%=21300
2) x%=1588.8
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%=21300/1588.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1588.8 is what percent of 21300

100%/x%=21300/1588.8
(100/x)*x=(21300/1588.8)*x       - we multiply both sides of the equation by x
100=13.406344410876*x       - we divide both sides of the equation by (13.406344410876) to get x
100/13.406344410876=x
7.4591549295775=x
x=7.4591549295775

now we have:
1588.8 is 7.4591549295775% of 21300