0.92 is what percent of 25.62 - 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 25.62 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 25.62, so we can write it down as 100%=25.62.
4. We know, that x% equals 0.92 of the output value, so we can write it down as x%=0.92.
5. Now we have two simple equations:
1) 100%=25.62
2) x%=0.92
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%=25.62/0.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.92 is what percent of 25.62

100%/x%=25.62/0.92
(100/x)*x=(25.62/0.92)*x       - we multiply both sides of the equation by x
100=27.847826086957*x       - we divide both sides of the equation by (27.847826086957) to get x
100/27.847826086957=x
3.5909445745511=x
x=3.5909445745511

now we have:
0.92 is 3.5909445745511% of 25.62