23.75 is what percent of 138 - 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 138 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 138, so we can write it down as 100%=138.
4. We know, that x% equals 23.75 of the output value, so we can write it down as x%=23.75.
5. Now we have two simple equations:
1) 100%=138
2) x%=23.75
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%=138/23.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.75 is what percent of 138

100%/x%=138/23.75
(100/x)*x=(138/23.75)*x       - we multiply both sides of the equation by x
100=5.8105263157895*x       - we divide both sides of the equation by (5.8105263157895) to get x
100/5.8105263157895=x
17.210144927536=x
x=17.210144927536

now we have:
23.75 is 17.210144927536% of 138