167.81 is what percent of 215.75 - 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 215.75 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 215.75, so we can write it down as 100%=215.75.
4. We know, that x% equals 167.81 of the output value, so we can write it down as x%=167.81.
5. Now we have two simple equations:
1) 100%=215.75
2) x%=167.81
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%=215.75/167.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.81 is what percent of 215.75

100%/x%=215.75/167.81
(100/x)*x=(215.75/167.81)*x       - we multiply both sides of the equation by x
100=1.2856802335975*x       - we divide both sides of the equation by (1.2856802335975) to get x
100/1.2856802335975=x
77.779837775203=x
x=77.779837775203

now we have:
167.81 is 77.779837775203% of 215.75