47.03 is what percent of 49.5 - 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 49.5 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 49.5, so we can write it down as 100%=49.5.
4. We know, that x% equals 47.03 of the output value, so we can write it down as x%=47.03.
5. Now we have two simple equations:
1) 100%=49.5
2) x%=47.03
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%=49.5/47.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.03 is what percent of 49.5

100%/x%=49.5/47.03
(100/x)*x=(49.5/47.03)*x       - we multiply both sides of the equation by x
100=1.0525196682968*x       - we divide both sides of the equation by (1.0525196682968) to get x
100/1.0525196682968=x
95.010101010101=x
x=95.010101010101

now we have:
47.03 is 95.010101010101% of 49.5