147.85 is what percent of 1181.8 - 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 1181.8 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 1181.8, so we can write it down as 100%=1181.8.
4. We know, that x% equals 147.85 of the output value, so we can write it down as x%=147.85.
5. Now we have two simple equations:
1) 100%=1181.8
2) x%=147.85
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%=1181.8/147.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 147.85 is what percent of 1181.8

100%/x%=1181.8/147.85
(100/x)*x=(1181.8/147.85)*x       - we multiply both sides of the equation by x
100=7.9932363882313*x       - we divide both sides of the equation by (7.9932363882313) to get x
100/7.9932363882313=x
12.510577085801=x
x=12.510577085801

now we have:
147.85 is 12.510577085801% of 1181.8