35.97 is what percent of 154.93 - 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 154.93 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 154.93, so we can write it down as 100%=154.93.
4. We know, that x% equals 35.97 of the output value, so we can write it down as x%=35.97.
5. Now we have two simple equations:
1) 100%=154.93
2) x%=35.97
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%=154.93/35.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.97 is what percent of 154.93

100%/x%=154.93/35.97
(100/x)*x=(154.93/35.97)*x       - we multiply both sides of the equation by x
100=4.3072004448151*x       - we divide both sides of the equation by (4.3072004448151) to get x
100/4.3072004448151=x
23.216936681082=x
x=23.216936681082

now we have:
35.97 is 23.216936681082% of 154.93