178.5 is what percent of 1374.5 - 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 1374.5 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 1374.5, so we can write it down as 100%=1374.5.
4. We know, that x% equals 178.5 of the output value, so we can write it down as x%=178.5.
5. Now we have two simple equations:
1) 100%=1374.5
2) x%=178.5
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%=1374.5/178.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 178.5 is what percent of 1374.5

100%/x%=1374.5/178.5
(100/x)*x=(1374.5/178.5)*x       - we multiply both sides of the equation by x
100=7.7002801120448*x       - we divide both sides of the equation by (7.7002801120448) to get x
100/7.7002801120448=x
12.986540560204=x
x=12.986540560204

now we have:
178.5 is 12.986540560204% of 1374.5