148.64 is what percent of 347.74 - 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 347.74 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 347.74, so we can write it down as 100%=347.74.
4. We know, that x% equals 148.64 of the output value, so we can write it down as x%=148.64.
5. Now we have two simple equations:
1) 100%=347.74
2) x%=148.64
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%=347.74/148.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.64 is what percent of 347.74

100%/x%=347.74/148.64
(100/x)*x=(347.74/148.64)*x       - we multiply both sides of the equation by x
100=2.3394779332616*x       - we divide both sides of the equation by (2.3394779332616) to get x
100/2.3394779332616=x
42.744579283373=x
x=42.744579283373

now we have:
148.64 is 42.744579283373% of 347.74