70.93 is what percent of 363.6 - 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 363.6 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 363.6, so we can write it down as 100%=363.6.
4. We know, that x% equals 70.93 of the output value, so we can write it down as x%=70.93.
5. Now we have two simple equations:
1) 100%=363.6
2) x%=70.93
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%=363.6/70.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.93 is what percent of 363.6

100%/x%=363.6/70.93
(100/x)*x=(363.6/70.93)*x       - we multiply both sides of the equation by x
100=5.1261807415762*x       - we divide both sides of the equation by (5.1261807415762) to get x
100/5.1261807415762=x
19.507700770077=x
x=19.507700770077

now we have:
70.93 is 19.507700770077% of 363.6