0.65 is what percent of 50.6 - 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 50.6 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 50.6, so we can write it down as 100%=50.6.
4. We know, that x% equals 0.65 of the output value, so we can write it down as x%=0.65.
5. Now we have two simple equations:
1) 100%=50.6
2) x%=0.65
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%=50.6/0.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.65 is what percent of 50.6

100%/x%=50.6/0.65
(100/x)*x=(50.6/0.65)*x       - we multiply both sides of the equation by x
100=77.846153846154*x       - we divide both sides of the equation by (77.846153846154) to get x
100/77.846153846154=x
1.2845849802372=x
x=1.2845849802372

now we have:
0.65 is 1.2845849802372% of 50.6