What is 91.7 percent of 0.506 - 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 0.506 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 0.506 is 100%, so we can write it down as 0.506=100%.
4. We know, that x is 91.7% of the output value, so we can write it down as x=91.7%.
5. Now we have two simple equations:
1) 0.506=100%
2) x=91.7%
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:
0.506/x=100%/91.7%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 91.7% of 0.506

0.506/x=100/91.7
(0.506/x)*x=(100/91.7)*x       - we multiply both sides of the equation by x
0.506=1.0905125408942*x       - we divide both sides of the equation by (1.0905125408942) to get x
0.506/1.0905125408942=x
0.464002=x
x=0.464002

now we have:
91.7% of 0.506=0.464002