45.07 is what percent of 48.13 - 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 48.13 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 48.13, so we can write it down as 100%=48.13.
4. We know, that x% equals 45.07 of the output value, so we can write it down as x%=45.07.
5. Now we have two simple equations:
1) 100%=48.13
2) x%=45.07
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%=48.13/45.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.07 is what percent of 48.13

100%/x%=48.13/45.07
(100/x)*x=(48.13/45.07)*x       - we multiply both sides of the equation by x
100=1.0678943865099*x       - we divide both sides of the equation by (1.0678943865099) to get x
100/1.0678943865099=x
93.642218990235=x
x=93.642218990235

now we have:
45.07 is 93.642218990235% of 48.13