What is 9.02 percent of 1583 - 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 1583 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 1583 is 100%, so we can write it down as 1583=100%.
4. We know, that x is 9.02% of the output value, so we can write it down as x=9.02%.
5. Now we have two simple equations:
1) 1583=100%
2) x=9.02%
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:
1583/x=100%/9.02%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 9.02% of 1583

1583/x=100/9.02
(1583/x)*x=(100/9.02)*x       - we multiply both sides of the equation by x
1583=11.086474501109*x       - we divide both sides of the equation by (11.086474501109) to get x
1583/11.086474501109=x
142.7866=x
x=142.7866

now we have:
9.02% of 1583=142.7866