0.78 is what percent of 38.79 - 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 38.79 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 38.79, so we can write it down as 100%=38.79.
4. We know, that x% equals 0.78 of the output value, so we can write it down as x%=0.78.
5. Now we have two simple equations:
1) 100%=38.79
2) x%=0.78
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%=38.79/0.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.78 is what percent of 38.79

100%/x%=38.79/0.78
(100/x)*x=(38.79/0.78)*x       - we multiply both sides of the equation by x
100=49.730769230769*x       - we divide both sides of the equation by (49.730769230769) to get x
100/49.730769230769=x
2.0108275328693=x
x=2.0108275328693

now we have:
0.78 is 2.0108275328693% of 38.79