1.75 is what percent of 23.526 - 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 23.526 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 23.526, so we can write it down as 100%=23.526.
4. We know, that x% equals 1.75 of the output value, so we can write it down as x%=1.75.
5. Now we have two simple equations:
1) 100%=23.526
2) x%=1.75
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%=23.526/1.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.75 is what percent of 23.526

100%/x%=23.526/1.75
(100/x)*x=(23.526/1.75)*x       - we multiply both sides of the equation by x
100=13.443428571429*x       - we divide both sides of the equation by (13.443428571429) to get x
100/13.443428571429=x
7.4385785938961=x
x=7.4385785938961

now we have:
1.75 is 7.4385785938961% of 23.526