1.65 is what percent of 1.78 - 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 1.78 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 1.78, so we can write it down as 100%=1.78.
4. We know, that x% equals 1.65 of the output value, so we can write it down as x%=1.65.
5. Now we have two simple equations:
1) 100%=1.78
2) x%=1.65
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%=1.78/1.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.65 is what percent of 1.78

100%/x%=1.78/1.65
(100/x)*x=(1.78/1.65)*x       - we multiply both sides of the equation by x
100=1.0787878787879*x       - we divide both sides of the equation by (1.0787878787879) to get x
100/1.0787878787879=x
92.696629213483=x
x=92.696629213483

now we have:
1.65 is 92.696629213483% of 1.78