70.04 is what percent of 51.04 - 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 51.04 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 51.04, so we can write it down as 100%=51.04.
4. We know, that x% equals 70.04 of the output value, so we can write it down as x%=70.04.
5. Now we have two simple equations:
1) 100%=51.04
2) x%=70.04
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%=51.04/70.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.04 is what percent of 51.04

100%/x%=51.04/70.04
(100/x)*x=(51.04/70.04)*x       - we multiply both sides of the equation by x
100=0.72872644203312*x       - we divide both sides of the equation by (0.72872644203312) to get x
100/0.72872644203312=x
137.22570532915=x
x=137.22570532915

now we have:
70.04 is 137.22570532915% of 51.04