1.1 is what percent of 1.58 - 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 1.58 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 1.58, so we can write it down as 100%=1.58.
4. We know, that x% equals 1.1 of the output value, so we can write it down as x%=1.1.
5. Now we have two simple equations:
1) 100%=1.58
2) x%=1.1
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%=1.58/1.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.1 is what percent of 1.58

100%/x%=1.58/1.1
(100/x)*x=(1.58/1.1)*x       - we multiply both sides of the equation by x
100=1.4363636363636*x       - we divide both sides of the equation by (1.4363636363636) to get x
100/1.4363636363636=x
69.620253164557=x
x=69.620253164557

now we have:
1.1 is 69.620253164557% of 1.58