861.25 is what percent of 1189.4 - 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 1189.4 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 1189.4, so we can write it down as 100%=1189.4.
4. We know, that x% equals 861.25 of the output value, so we can write it down as x%=861.25.
5. Now we have two simple equations:
1) 100%=1189.4
2) x%=861.25
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%=1189.4/861.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 861.25 is what percent of 1189.4

100%/x%=1189.4/861.25
(100/x)*x=(1189.4/861.25)*x       - we multiply both sides of the equation by x
100=1.3810159651669*x       - we divide both sides of the equation by (1.3810159651669) to get x
100/1.3810159651669=x
72.410459054986=x
x=72.410459054986

now we have:
861.25 is 72.410459054986% of 1189.4