72 is what percent of 1675 - 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 1675 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 1675, so we can write it down as 100%=1675.
4. We know, that x% equals 72 of the output value, so we can write it down as x%=72.
5. Now we have two simple equations:
1) 100%=1675
2) x%=72
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%=1675/72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72 is what percent of 1675

100%/x%=1675/72
(100/x)*x=(1675/72)*x       - we multiply both sides of the equation by x
100=23.263888888889*x       - we divide both sides of the equation by (23.263888888889) to get x
100/23.263888888889=x
4.2985074626866=x
x=4.2985074626866

now we have:
72 is 4.2985074626866% of 1675