2.77 is what percent of 159 - 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 159 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 159, so we can write it down as 100%=159.
4. We know, that x% equals 2.77 of the output value, so we can write it down as x%=2.77.
5. Now we have two simple equations:
1) 100%=159
2) x%=2.77
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%=159/2.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.77 is what percent of 159

100%/x%=159/2.77
(100/x)*x=(159/2.77)*x       - we multiply both sides of the equation by x
100=57.400722021661*x       - we divide both sides of the equation by (57.400722021661) to get x
100/57.400722021661=x
1.7421383647799=x
x=1.7421383647799

now we have:
2.77 is 1.7421383647799% of 159