45.27 is what percent of 69.06 - 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 69.06 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 69.06, so we can write it down as 100%=69.06.
4. We know, that x% equals 45.27 of the output value, so we can write it down as x%=45.27.
5. Now we have two simple equations:
1) 100%=69.06
2) x%=45.27
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%=69.06/45.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.27 is what percent of 69.06

100%/x%=69.06/45.27
(100/x)*x=(69.06/45.27)*x       - we multiply both sides of the equation by x
100=1.5255135851557*x       - we divide both sides of the equation by (1.5255135851557) to get x
100/1.5255135851557=x
65.551694178975=x
x=65.551694178975

now we have:
45.27 is 65.551694178975% of 69.06