6.13 is what percent of 45.05 - 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 45.05 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 45.05, so we can write it down as 100%=45.05.
4. We know, that x% equals 6.13 of the output value, so we can write it down as x%=6.13.
5. Now we have two simple equations:
1) 100%=45.05
2) x%=6.13
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%=45.05/6.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.13 is what percent of 45.05

100%/x%=45.05/6.13
(100/x)*x=(45.05/6.13)*x       - we multiply both sides of the equation by x
100=7.3491027732463*x       - we divide both sides of the equation by (7.3491027732463) to get x
100/7.3491027732463=x
13.607103218646=x
x=13.607103218646

now we have:
6.13 is 13.607103218646% of 45.05