187.23 is what percent of 12458.65 - 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 12458.65 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 12458.65, so we can write it down as 100%=12458.65.
4. We know, that x% equals 187.23 of the output value, so we can write it down as x%=187.23.
5. Now we have two simple equations:
1) 100%=12458.65
2) x%=187.23
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%=12458.65/187.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 187.23 is what percent of 12458.65

100%/x%=12458.65/187.23
(100/x)*x=(12458.65/187.23)*x       - we multiply both sides of the equation by x
100=66.541953746729*x       - we divide both sides of the equation by (66.541953746729) to get x
100/66.541953746729=x
1.5028112997797=x
x=1.5028112997797

now we have:
187.23 is 1.5028112997797% of 12458.65