9.23 is what percent of 147 - 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 147 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 147, so we can write it down as 100%=147.
4. We know, that x% equals 9.23 of the output value, so we can write it down as x%=9.23.
5. Now we have two simple equations:
1) 100%=147
2) x%=9.23
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%=147/9.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.23 is what percent of 147

100%/x%=147/9.23
(100/x)*x=(147/9.23)*x       - we multiply both sides of the equation by x
100=15.926327193933*x       - we divide both sides of the equation by (15.926327193933) to get x
100/15.926327193933=x
6.2789115646258=x
x=6.2789115646258

now we have:
9.23 is 6.2789115646258% of 147