1.6 is what percent of 52.79 - 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 52.79 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 52.79, so we can write it down as 100%=52.79.
4. We know, that x% equals 1.6 of the output value, so we can write it down as x%=1.6.
5. Now we have two simple equations:
1) 100%=52.79
2) x%=1.6
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%=52.79/1.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.6 is what percent of 52.79

100%/x%=52.79/1.6
(100/x)*x=(52.79/1.6)*x       - we multiply both sides of the equation by x
100=32.99375*x       - we divide both sides of the equation by (32.99375) to get x
100/32.99375=x
3.0308770600493=x
x=3.0308770600493

now we have:
1.6 is 3.0308770600493% of 52.79