What is 970 percent of 1600 - 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 1600 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 1600 is 100%, so we can write it down as 1600=100%.
4. We know, that x is 970% of the output value, so we can write it down as x=970%.
5. Now we have two simple equations:
1) 1600=100%
2) x=970%
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:
1600/x=100%/970%
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 970% of 1600

1600/x=100/970
(1600/x)*x=(100/970)*x       - we multiply both sides of the equation by x
1600=0.10309278350515*x       - we divide both sides of the equation by (0.10309278350515) to get x
1600/0.10309278350515=x
15520=x
x=15520

now we have:
970% of 1600=15520