37.61 is what percent of 1204 - 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 1204 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 1204, so we can write it down as 100%=1204.
4. We know, that x% equals 37.61 of the output value, so we can write it down as x%=37.61.
5. Now we have two simple equations:
1) 100%=1204
2) x%=37.61
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%=1204/37.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.61 is what percent of 1204

100%/x%=1204/37.61
(100/x)*x=(1204/37.61)*x       - we multiply both sides of the equation by x
100=32.012762563148*x       - we divide both sides of the equation by (32.012762563148) to get x
100/32.012762563148=x
3.1237541528239=x
x=3.1237541528239

now we have:
37.61 is 3.1237541528239% of 1204