820.1 is what percent of 1170 - 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 1170 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 1170, so we can write it down as 100%=1170.
4. We know, that x% equals 820.1 of the output value, so we can write it down as x%=820.1.
5. Now we have two simple equations:
1) 100%=1170
2) x%=820.1
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%=1170/820.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 820.1 is what percent of 1170

100%/x%=1170/820.1
(100/x)*x=(1170/820.1)*x       - we multiply both sides of the equation by x
100=1.4266552859407*x       - we divide both sides of the equation by (1.4266552859407) to get x
100/1.4266552859407=x
70.094017094017=x
x=70.094017094017

now we have:
820.1 is 70.094017094017% of 1170