1.35 is what percent of 3.68 - 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 3.68 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 3.68, so we can write it down as 100%=3.68.
4. We know, that x% equals 1.35 of the output value, so we can write it down as x%=1.35.
5. Now we have two simple equations:
1) 100%=3.68
2) x%=1.35
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%=3.68/1.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.35 is what percent of 3.68

100%/x%=3.68/1.35
(100/x)*x=(3.68/1.35)*x       - we multiply both sides of the equation by x
100=2.7259259259259*x       - we divide both sides of the equation by (2.7259259259259) to get x
100/2.7259259259259=x
36.684782608696=x
x=36.684782608696

now we have:
1.35 is 36.684782608696% of 3.68