369.67 is what percent of 947.88 - 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 947.88 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 947.88, so we can write it down as 100%=947.88.
4. We know, that x% equals 369.67 of the output value, so we can write it down as x%=369.67.
5. Now we have two simple equations:
1) 100%=947.88
2) x%=369.67
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%=947.88/369.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 369.67 is what percent of 947.88

100%/x%=947.88/369.67
(100/x)*x=(947.88/369.67)*x       - we multiply both sides of the equation by x
100=2.564124759921*x       - we divide both sides of the equation by (2.564124759921) to get x
100/2.564124759921=x
38.999662404524=x
x=38.999662404524

now we have:
369.67 is 38.999662404524% of 947.88