181 is what percent of 8 - 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 8 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 8, so we can write it down as 100%=8.
4. We know, that x% equals 181 of the output value, so we can write it down as x%=181.
5. Now we have two simple equations:
1) 100%=8
2) x%=181
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%=8/181
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 181 is what percent of 8

100%/x%=8/181
(100/x)*x=(8/181)*x       - we multiply both sides of the equation by x
100=0.044198895027624*x       - we divide both sides of the equation by (0.044198895027624) to get x
100/0.044198895027624=x
2262.5=x
x=2262.5

now we have:
181 is 2262.5% of 8