10.84 is what percent of 230.56 - 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 230.56 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 230.56, so we can write it down as 100%=230.56.
4. We know, that x% equals 10.84 of the output value, so we can write it down as x%=10.84.
5. Now we have two simple equations:
1) 100%=230.56
2) x%=10.84
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%=230.56/10.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.84 is what percent of 230.56

100%/x%=230.56/10.84
(100/x)*x=(230.56/10.84)*x       - we multiply both sides of the equation by x
100=21.269372693727*x       - we divide both sides of the equation by (21.269372693727) to get x
100/21.269372693727=x
4.7015961138099=x
x=4.7015961138099

now we have:
10.84 is 4.7015961138099% of 230.56