What is 17.7 percent of 262 - 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 262 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 262 is 100%, so we can write it down as 262=100%.
4. We know, that x is 17.7% of the output value, so we can write it down as x=17.7%.
5. Now we have two simple equations:
1) 262=100%
2) x=17.7%
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:
262/x=100%/17.7%
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 17.7% of 262

262/x=100/17.7
(262/x)*x=(100/17.7)*x       - we multiply both sides of the equation by x
262=5.6497175141243*x       - we divide both sides of the equation by (5.6497175141243) to get x
262/5.6497175141243=x
46.374=x
x=46.374

now we have:
17.7% of 262=46.374