What is 1.69 percent of 5.14 - 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 5.14 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 5.14 is 100%, so we can write it down as 5.14=100%.
4. We know, that x is 1.69% of the output value, so we can write it down as x=1.69%.
5. Now we have two simple equations:
1) 5.14=100%
2) x=1.69%
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:
5.14/x=100%/1.69%
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 1.69% of 5.14

5.14/x=100/1.69
(5.14/x)*x=(100/1.69)*x       - we multiply both sides of the equation by x
5.14=59.171597633136*x       - we divide both sides of the equation by (59.171597633136) to get x
5.14/59.171597633136=x
0.086866=x
x=0.086866

now we have:
1.69% of 5.14=0.086866