What is 1.607 percent of 5.796 - 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 5.796 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 5.796 is 100%, so we can write it down as 5.796=100%.
4. We know, that x is 1.607% of the output value, so we can write it down as x=1.607%.
5. Now we have two simple equations:
1) 5.796=100%
2) x=1.607%
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:
5.796/x=100%/1.607%
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 1.607% of 5.796

5.796/x=100/1.607
(5.796/x)*x=(100/1.607)*x       - we multiply both sides of the equation by x
5.796=62.227753578096*x       - we divide both sides of the equation by (62.227753578096) to get x
5.796/62.227753578096=x
0.09314172=x
x=0.09314172

now we have:
1.607% of 5.796=0.09314172