51 is what percent of 5855 - 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 5855 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 5855, so we can write it down as 100%=5855.
4. We know, that x% equals 51 of the output value, so we can write it down as x%=51.
5. Now we have two simple equations:
1) 100%=5855
2) x%=51
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%=5855/51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51 is what percent of 5855

100%/x%=5855/51
(100/x)*x=(5855/51)*x       - we multiply both sides of the equation by x
100=114.80392156863*x       - we divide both sides of the equation by (114.80392156863) to get x
100/114.80392156863=x
0.87105038428693=x
x=0.87105038428693

now we have:
51 is 0.87105038428693% of 5855