40.29 is what percent of 69.99 - 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 69.99 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 69.99, so we can write it down as 100%=69.99.
4. We know, that x% equals 40.29 of the output value, so we can write it down as x%=40.29.
5. Now we have two simple equations:
1) 100%=69.99
2) x%=40.29
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%=69.99/40.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.29 is what percent of 69.99

100%/x%=69.99/40.29
(100/x)*x=(69.99/40.29)*x       - we multiply both sides of the equation by x
100=1.7371556217424*x       - we divide both sides of the equation by (1.7371556217424) to get x
100/1.7371556217424=x
57.565366480926=x
x=57.565366480926

now we have:
40.29 is 57.565366480926% of 69.99