1.58 is what percent of 10.9 - 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 10.9 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 10.9, so we can write it down as 100%=10.9.
4. We know, that x% equals 1.58 of the output value, so we can write it down as x%=1.58.
5. Now we have two simple equations:
1) 100%=10.9
2) x%=1.58
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%=10.9/1.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.58 is what percent of 10.9

100%/x%=10.9/1.58
(100/x)*x=(10.9/1.58)*x       - we multiply both sides of the equation by x
100=6.8987341772152*x       - we divide both sides of the equation by (6.8987341772152) to get x
100/6.8987341772152=x
14.495412844037=x
x=14.495412844037

now we have:
1.58 is 14.495412844037% of 10.9