18.2 is what percent of 34.1 - 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 34.1 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 34.1, so we can write it down as 100%=34.1.
4. We know, that x% equals 18.2 of the output value, so we can write it down as x%=18.2.
5. Now we have two simple equations:
1) 100%=34.1
2) x%=18.2
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%=34.1/18.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.2 is what percent of 34.1

100%/x%=34.1/18.2
(100/x)*x=(34.1/18.2)*x       - we multiply both sides of the equation by x
100=1.8736263736264*x       - we divide both sides of the equation by (1.8736263736264) to get x
100/1.8736263736264=x
53.372434017595=x
x=53.372434017595

now we have:
18.2 is 53.372434017595% of 34.1