74.26 is what percent of 107.38 - 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 107.38 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 107.38, so we can write it down as 100%=107.38.
4. We know, that x% equals 74.26 of the output value, so we can write it down as x%=74.26.
5. Now we have two simple equations:
1) 100%=107.38
2) x%=74.26
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%=107.38/74.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.26 is what percent of 107.38

100%/x%=107.38/74.26
(100/x)*x=(107.38/74.26)*x       - we multiply both sides of the equation by x
100=1.446000538648*x       - we divide both sides of the equation by (1.446000538648) to get x
100/1.446000538648=x
69.156267461352=x
x=69.156267461352

now we have:
74.26 is 69.156267461352% of 107.38