92 is what percent of 38.2 - 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 38.2 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 38.2, so we can write it down as 100%=38.2.
4. We know, that x% equals 92 of the output value, so we can write it down as x%=92.
5. Now we have two simple equations:
1) 100%=38.2
2) x%=92
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%=38.2/92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92 is what percent of 38.2

100%/x%=38.2/92
(100/x)*x=(38.2/92)*x       - we multiply both sides of the equation by x
100=0.41521739130435*x       - we divide both sides of the equation by (0.41521739130435) to get x
100/0.41521739130435=x
240.83769633508=x
x=240.83769633508

now we have:
92 is 240.83769633508% of 38.2