5.07 is what percent of 45.36 - 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 45.36 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 45.36, so we can write it down as 100%=45.36.
4. We know, that x% equals 5.07 of the output value, so we can write it down as x%=5.07.
5. Now we have two simple equations:
1) 100%=45.36
2) x%=5.07
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%=45.36/5.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.07 is what percent of 45.36

100%/x%=45.36/5.07
(100/x)*x=(45.36/5.07)*x       - we multiply both sides of the equation by x
100=8.9467455621302*x       - we divide both sides of the equation by (8.9467455621302) to get x
100/8.9467455621302=x
11.177248677249=x
x=11.177248677249

now we have:
5.07 is 11.177248677249% of 45.36