967.5 is what percent of 3347.5 - 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 3347.5 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 3347.5, so we can write it down as 100%=3347.5.
4. We know, that x% equals 967.5 of the output value, so we can write it down as x%=967.5.
5. Now we have two simple equations:
1) 100%=3347.5
2) x%=967.5
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%=3347.5/967.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 967.5 is what percent of 3347.5

100%/x%=3347.5/967.5
(100/x)*x=(3347.5/967.5)*x       - we multiply both sides of the equation by x
100=3.4599483204134*x       - we divide both sides of the equation by (3.4599483204134) to get x
100/3.4599483204134=x
28.90216579537=x
x=28.90216579537

now we have:
967.5 is 28.90216579537% of 3347.5