341.48 is what percent of 1177.5 - 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 1177.5 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 1177.5, so we can write it down as 100%=1177.5.
4. We know, that x% equals 341.48 of the output value, so we can write it down as x%=341.48.
5. Now we have two simple equations:
1) 100%=1177.5
2) x%=341.48
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%=1177.5/341.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 341.48 is what percent of 1177.5

100%/x%=1177.5/341.48
(100/x)*x=(1177.5/341.48)*x       - we multiply both sides of the equation by x
100=3.4482253719105*x       - we divide both sides of the equation by (3.4482253719105) to get x
100/3.4482253719105=x
29.00042462845=x
x=29.00042462845

now we have:
341.48 is 29.00042462845% of 1177.5