9.58 is what percent of 20.34 - 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 20.34 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 20.34, so we can write it down as 100%=20.34.
4. We know, that x% equals 9.58 of the output value, so we can write it down as x%=9.58.
5. Now we have two simple equations:
1) 100%=20.34
2) x%=9.58
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%=20.34/9.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.58 is what percent of 20.34

100%/x%=20.34/9.58
(100/x)*x=(20.34/9.58)*x       - we multiply both sides of the equation by x
100=2.1231732776618*x       - we divide both sides of the equation by (2.1231732776618) to get x
100/2.1231732776618=x
47.099311701082=x
x=47.099311701082

now we have:
9.58 is 47.099311701082% of 20.34