75 is what percent of 78230 - 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 78230 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 78230, so we can write it down as 100%=78230.
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%=78230
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%=78230/75
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 78230

100%/x%=78230/75
(100/x)*x=(78230/75)*x       - we multiply both sides of the equation by x
100=1043.0666666667*x       - we divide both sides of the equation by (1043.0666666667) to get x
100/1043.0666666667=x
0.095871149175508=x
x=0.095871149175508

now we have:
75 is 0.095871149175508% of 78230