17542.45 is what percent of 27500 - 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 27500 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 27500, so we can write it down as 100%=27500.
4. We know, that x% equals 17542.45 of the output value, so we can write it down as x%=17542.45.
5. Now we have two simple equations:
1) 100%=27500
2) x%=17542.45
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%=27500/17542.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17542.45 is what percent of 27500

100%/x%=27500/17542.45
(100/x)*x=(27500/17542.45)*x       - we multiply both sides of the equation by x
100=1.5676259587458*x       - we divide both sides of the equation by (1.5676259587458) to get x
100/1.5676259587458=x
63.790727272727=x
x=63.790727272727

now we have:
17542.45 is 63.790727272727% of 27500