188.12 is what percent of 1234.53 - 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 1234.53 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 1234.53, so we can write it down as 100%=1234.53.
4. We know, that x% equals 188.12 of the output value, so we can write it down as x%=188.12.
5. Now we have two simple equations:
1) 100%=1234.53
2) x%=188.12
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%=1234.53/188.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 188.12 is what percent of 1234.53

100%/x%=1234.53/188.12
(100/x)*x=(1234.53/188.12)*x       - we multiply both sides of the equation by x
100=6.5624601318307*x       - we divide both sides of the equation by (6.5624601318307) to get x
100/6.5624601318307=x
15.238187812366=x
x=15.238187812366

now we have:
188.12 is 15.238187812366% of 1234.53