0.81 is what percent of 17.8 - 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 17.8 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 17.8, so we can write it down as 100%=17.8.
4. We know, that x% equals 0.81 of the output value, so we can write it down as x%=0.81.
5. Now we have two simple equations:
1) 100%=17.8
2) x%=0.81
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%=17.8/0.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.81 is what percent of 17.8

100%/x%=17.8/0.81
(100/x)*x=(17.8/0.81)*x       - we multiply both sides of the equation by x
100=21.975308641975*x       - we divide both sides of the equation by (21.975308641975) to get x
100/21.975308641975=x
4.5505617977528=x
x=4.5505617977528

now we have:
0.81 is 4.5505617977528% of 17.8