52.94 is what percent of 113.67 - 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 113.67 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 113.67, so we can write it down as 100%=113.67.
4. We know, that x% equals 52.94 of the output value, so we can write it down as x%=52.94.
5. Now we have two simple equations:
1) 100%=113.67
2) x%=52.94
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%=113.67/52.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.94 is what percent of 113.67

100%/x%=113.67/52.94
(100/x)*x=(113.67/52.94)*x       - we multiply both sides of the equation by x
100=2.1471477143937*x       - we divide both sides of the equation by (2.1471477143937) to get x
100/2.1471477143937=x
46.573414269376=x
x=46.573414269376

now we have:
52.94 is 46.573414269376% of 113.67