51.22 is what percent of 670.22 - 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 670.22 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 670.22, so we can write it down as 100%=670.22.
4. We know, that x% equals 51.22 of the output value, so we can write it down as x%=51.22.
5. Now we have two simple equations:
1) 100%=670.22
2) x%=51.22
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%=670.22/51.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.22 is what percent of 670.22

100%/x%=670.22/51.22
(100/x)*x=(670.22/51.22)*x       - we multiply both sides of the equation by x
100=13.085122998829*x       - we divide both sides of the equation by (13.085122998829) to get x
100/13.085122998829=x
7.642266718391=x
x=7.642266718391

now we have:
51.22 is 7.642266718391% of 670.22