What is 57.11 percent of 69.95 - 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 69.95 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 69.95 is 100%, so we can write it down as 69.95=100%.
4. We know, that x is 57.11% of the output value, so we can write it down as x=57.11%.
5. Now we have two simple equations:
1) 69.95=100%
2) x=57.11%
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:
69.95/x=100%/57.11%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 57.11% of 69.95

69.95/x=100/57.11
(69.95/x)*x=(100/57.11)*x       - we multiply both sides of the equation by x
69.95=1.7510068289266*x       - we divide both sides of the equation by (1.7510068289266) to get x
69.95/1.7510068289266=x
39.948445=x
x=39.948445

now we have:
57.11% of 69.95=39.948445