70.78 is what percent of 148.77 - 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 148.77 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 148.77, so we can write it down as 100%=148.77.
4. We know, that x% equals 70.78 of the output value, so we can write it down as x%=70.78.
5. Now we have two simple equations:
1) 100%=148.77
2) x%=70.78
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%=148.77/70.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.78 is what percent of 148.77

100%/x%=148.77/70.78
(100/x)*x=(148.77/70.78)*x       - we multiply both sides of the equation by x
100=2.1018649335971*x       - we divide both sides of the equation by (2.1018649335971) to get x
100/2.1018649335971=x
47.576796397123=x
x=47.576796397123

now we have:
70.78 is 47.576796397123% of 148.77