374.56 is what percent of 1230.7 - 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 1230.7 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 1230.7, so we can write it down as 100%=1230.7.
4. We know, that x% equals 374.56 of the output value, so we can write it down as x%=374.56.
5. Now we have two simple equations:
1) 100%=1230.7
2) x%=374.56
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%=1230.7/374.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 374.56 is what percent of 1230.7

100%/x%=1230.7/374.56
(100/x)*x=(1230.7/374.56)*x       - we multiply both sides of the equation by x
100=3.2857219137121*x       - we divide both sides of the equation by (3.2857219137121) to get x
100/3.2857219137121=x
30.434711952547=x
x=30.434711952547

now we have:
374.56 is 30.434711952547% of 1230.7