23.07 is what percent of 148.19 - 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 148.19 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 148.19, so we can write it down as 100%=148.19.
4. We know, that x% equals 23.07 of the output value, so we can write it down as x%=23.07.
5. Now we have two simple equations:
1) 100%=148.19
2) x%=23.07
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%=148.19/23.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.07 is what percent of 148.19

100%/x%=148.19/23.07
(100/x)*x=(148.19/23.07)*x       - we multiply both sides of the equation by x
100=6.4234937147811*x       - we divide both sides of the equation by (6.4234937147811) to get x
100/6.4234937147811=x
15.567852081787=x
x=15.567852081787

now we have:
23.07 is 15.567852081787% of 148.19