75 is what percent of 4167 - 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 4167 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 4167, so we can write it down as 100%=4167.
4. We know, that x% equals 75 of the output value, so we can write it down as x%=75.
5. Now we have two simple equations:
1) 100%=4167
2) x%=75
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%=4167/75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75 is what percent of 4167

100%/x%=4167/75
(100/x)*x=(4167/75)*x       - we multiply both sides of the equation by x
100=55.56*x       - we divide both sides of the equation by (55.56) to get x
100/55.56=x
1.7998560115191=x
x=1.7998560115191

now we have:
75 is 1.7998560115191% of 4167