70.37 is what percent of 5438 - 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 5438 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 5438, so we can write it down as 100%=5438.
4. We know, that x% equals 70.37 of the output value, so we can write it down as x%=70.37.
5. Now we have two simple equations:
1) 100%=5438
2) x%=70.37
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%=5438/70.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.37 is what percent of 5438

100%/x%=5438/70.37
(100/x)*x=(5438/70.37)*x       - we multiply both sides of the equation by x
100=77.277248827625*x       - we divide both sides of the equation by (77.277248827625) to get x
100/77.277248827625=x
1.2940419271791=x
x=1.2940419271791

now we have:
70.37 is 1.2940419271791% of 5438