1170.03 is what percent of 3461.72 - 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 3461.72 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 3461.72, so we can write it down as 100%=3461.72.
4. We know, that x% equals 1170.03 of the output value, so we can write it down as x%=1170.03.
5. Now we have two simple equations:
1) 100%=3461.72
2) x%=1170.03
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%=3461.72/1170.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1170.03 is what percent of 3461.72

100%/x%=3461.72/1170.03
(100/x)*x=(3461.72/1170.03)*x       - we multiply both sides of the equation by x
100=2.9586591796792*x       - we divide both sides of the equation by (2.9586591796792) to get x
100/2.9586591796792=x
33.799094091954=x
x=33.799094091954

now we have:
1170.03 is 33.799094091954% of 3461.72