52.94 is what percent of 31.99 - 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 31.99 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 31.99, so we can write it down as 100%=31.99.
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%=31.99
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%=31.99/52.94
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 31.99

100%/x%=31.99/52.94
(100/x)*x=(31.99/52.94)*x       - we multiply both sides of the equation by x
100=0.60426898375519*x       - we divide both sides of the equation by (0.60426898375519) to get x
100/0.60426898375519=x
165.48921537981=x
x=165.48921537981

now we have:
52.94 is 165.48921537981% of 31.99